8/14/2006

**LARRY SPRUCH 1923-2006
**

**INTRODUCTION
**

** **This is a website in honor of Larry Spruch, to
recognize his many years of contributions to theoretical physics and other
important areas of our civilization. Some of his close associates
have prepared short articles describing
specific aspects of his work, and, in most cases, the work with which each of
these colleagues was most closely associated.

Some original articles can be accessed through hyperlinks in the bibliography, principally those appearing in APS journals, through its PROLA archive. This archive goes back to the first issue of Physical Review in 1893. Some hyperlinks in the pdf versions of the guest articles have also been established, mainly through PROLA, and these can be reached by clicking on boxed references in the guest articles. You are permitted to access the original articles provided you are using your institution’s website and provided that it subscribes to the electronic versions of the cited journals; otherwise you can still obtain the abstract and references. Some of Larry’s works (ones which are not electronically available) are also available from this home page, in scanned html versions.

**Personal
remarks by Larry**

**List
of Guest Articles
**

**Yukap
Hahn Variational
bounds on scattering parameters
**

**Peter
Milonni Vacuum effects in
the presence of walls
**

**Elliott
H. Lieb A brief review of Thomas-Fermi theory
(the
boxed references are hyperlinked to the original articles by clicking)
**

**Leonard
Rosenberg Modified
effective range theory
**

**A
R P Rau Larry Spruch and
variational principles
**

**Robin
Shakeshaft Larry Spruch
and charge transfer
**

**James
F. Babb Casimir-Polder effects in Rydberg atoms
**

** Martin
Schaden
Lamb-and Casimir- Energy and Periodic Classical Rays
**

** Michael
Lieber Larry Spruch and the three body problem **

**Mal
Ruderman (A collector’s item) Larry Spruch and negative ions in
pulsar magnetic fields**

**Notes and
other works by Larry
Spruch
**

**Spruch
1
Levinson’s Theorem
**

**Spruch2
Dominant diabatic long-range electron-atom interaction
**

**Spruch3
Relativistic vs. nonrelativistic scattering of slow electrons
**

**Spruch5
Long-Range (Casimir) interactions, Science Magazine review article, Vol. 272, pp
1452-1455 (1996). Reference #171.**

**Spruch6
Retarded, or Casimir, long-range potentials, Physics Today, Vol 39,
pp37-45 (1986). Reference #141**

**Spruch7
Astrophysics: Cosmochronology**

**Spruch8
Extremum principles for the determination of relativistic ground-state
energies**

**Spruch9
On the non-existence of bound states**

**Spruch10
Semi-classical estimation of the radiative mean lifetime of a hydrogen-like
state **

**Astounding Science Quizzes
by Larry Spruch and Grace Marmor Spruch, with cartoons by Nurit.--see reference #94.
Reproduced with permission of the publishers.For answers,
click here: ANSWERS
**

**Larry's RESUME**

**An appreciation: written for
Larry's 70th birthday by Leonard Rosenberg, from Comments in Atomic and
Molecular Physics, Vol. 30 pp121-127 (1994).**

**Some general remarks:**

**From Sidney Borowitz**

**From Howard Brown**

**From Ben Bederson**

**From Jerry K. Percus**

**From
Isaac (Ying) Halpern**

This website is organized by Ben Bederson

**BIBLIOGRAPHY**

PH.D. Thesis: On the
beta Decay of H3 (adviser, L. I. Schiff) 1948, unpublished

1.
On the Space Exchange Magnetic Moments of Light Nuclei, Phys. Rev. **80**,
372 (1950)

2.
Interaction Moment Contributions to Magnetic Moments of Nuclei (with A.
Russek), Phys. Rev. **87**, 1111 (1952)

3.
Internal Compton Effect in Ba^{137} (with G. Goertzel), Phys.
Rev. **93**, 642 (1954) (L)

4.
Magnetic Internal Compton Coefficients in the Born Approximation (with G.
Goertzel), Phys. Rev. **94**, 1671 (1954)

5.
Interaction Contribution to Nuclear Isomerism (with A. Rotenberg) Phys.
Rev. **103**, 365 (1956)

6.
Bounds on Scattering Phase Shifts, I. (with M. J. Kelly), Phys. Rev. **109**,
2144 (1958)

7.
Bounds on Scattering Phase Shifts, II, Phys. Rev. **109**, 2149 (1958)

8.
Inner Bremsstrahlung and the Magnetic Moment of the Neutrino (with W.
Gold), Phys. Rev. **110** 290 (1958) (L)

9.
Coulomb Corrections in the Theory of Internal Bremsstrahlung (with W.
Gold), Phys. Rev. **113**, 1060 (1959)

10.
Pluvinage Method for Systems of Three Charged Particles (with M. J.
Kelly), Phys. Rev. **116**, 911 (1959)

11.
Upper Bounds on Scattering Lengths for Static Potentials (with L.
Rosenberg), Phys. Rev. **116**, 1034 (1959)

12.
Low-Energy Scattering by a Compound System: Positrons on Atomic Hydrogen
(with L. Rosenberg), Phys. Rev. **117**, 143 (1960)

13.
Upper Bounds on Scattering Lengths for Compound Systems: n-D Quartet
Scattering (with L. Rosenberg), Phys. Rev. **117**, 1095
(1960)

14.
Upper Bounds on Scattering Lengths when Composite Bound States Exist
(with L. Rosenberg and T. F. O'Malley), Phys. Rev. **118**, 184
(1960)

15.
Bounds on the Elements of the Equivalent Network for Scattering in
Waveguides I Theory (with R. Bartram), J. Appl. Phys. **31**, 905 (1960)

16.
Bounds on the Elements of the Equivalent Network for Scattering in
Waveguides. II. Application to Dielectric Obstacles (with R. Bartram), J. Appl.
Phys. **31**, 913 (1960)

17.
Upper bound on the neutron-deuteron doublet scattering length (with L.
Rosenberg), Nuclear Phys. **17**, 30 (1960)

18.
Upper Bounds on Electron-Atomic Hydrogen Scattering Lengths (with L.
Rosenberg and T. F. O'Malley), Phys. Rev. **119**, 164 (1960)

19.
Upper bounds on scattering lengths (with L. Rosenberg), in Proceedings of
the International Conference on Nuclear Forces and the Few-Nucleon Problem,
London, 1959, edited by T. C. Griffith and E. A. Power, (Permagon Press, New
York, 1960) Vol. 2, p. 375

20.
Bounds on Scattering Phase Shifts: Static Central Potentials (with L.
Rosenberg), Phys. Rev. **120**, 474 (1960)

21.
Bounds on Low-Energy Scattering Parameters (with L. Rosenberg; based on a
invited paper before the American Physical Society and the Canadian Physical
Society, Montreal, June, 1960, presented by L. Spruch), J. Appl. Phys. **31**,
2104 (1960)

22.
Modifications of effective range theory in the presence of a long-range
potential (with T. F. O'Malley and L. Rosenberg), Phys. Rev. Letters **5**,
375 (1960)

23.
Bounds on Scattering Phase Shifts for Compound Systems (with L.
Rosenberg), Phys. Rev. **121**, 1720 (1961)

24.
Recent Advances in Theoretical Aspects of Atomic Collisions (Invited
paper before the American Physical Society and La Sociedad Mexicana de Fisica,
Mexico City, June 1961)

25.
Modification of Effective-Range Theory in the Presence of a Long-Range (r^{-4})
Potential (with T. F. O'Malley and L. Rosenberg), J. Math. Phys. **2**, 491
(1961)

26.
Low-Energy Scattering of a Charged Particle by a Neutral Polarizable
System (with T. F. O'Malley and L. Rosenberg), Phys. Rev. **125**, 1300
(1962)

27.
Minimum Principle for Multi-Channel Scattering (with L. Rosenberg), Phys.
Rev. **125**, 1407 (1962)

28.
Bounds on Elements of the S Matrix for Elastic Scattering:
One-Dimensional Scattering (with R. Bartram), J. Math. Phys. **3**, 287
(1962)

29.
Minimum Principles in Scattering Theory, in *Lectures in Theoretical
Physics, Boulder, 1961*, edited by W. E. Brittin, W. B. Downs and J. Downs,
(Interscience Publishers, Inc., of John Wiley and Sons, New York, 1962), Vol. 4,
pp. 161-263

30.
Static Approximation and Bounds on Single-Channel Phase Shifts (with Y.
Hahn and T. F. O'Malley), Phys. Rev. **128**, 932
(1962)

31.
Calculation of Nuclear Scattering Parameters from a Minimum Principle
(Invited paper before the American Physical Society, Seattle, August 1962)

32.
Improved Minimum Principle for Single-Channel Scattering (with Y. Hahn
and T. F. O'Malley), Phys. Rev. **130**, 381 (1963)

33.
Calculation of the S-wave phase shift for positron-hydrogen scattering by
a minimum principle (with Y. Hahn and T. F. O'Malley), in *Proceedings of
Third International Conference on the Physics of Electronic and Atomic
Collisions, London, July 1963,* edited by M. R. C. DcDowell, (North-Holland
Publishing Company, Amsterdam, 1964), p. 312

34.
The Future of Variational Principles (Invited short talk), in *Proceedings
of the Third International Conference of the Physics of Electronic and Atomic
Collisions, London, July 1963*, edited by M. R. C. McDowell, (North-Holland
Publishing Company, Amsterdam, 1964), p. 378

35.
Low energy proton-deuteron and neutron-deuteron scattering (with K.
Kalikstein and L. Rosenberg), Nucl. Phys. **49**, 257 (1963)

36.
Bounds on Multichannel Scattering Parameters (with Y. Hahn and T. F.
O'Malley), Phys. Rev. **134**, 8397
(1964)

37.
Improved Minimum Principle for Multichannel Scattering (with Y. Hahn and
T. F. O'Malley), Phys. Rev. **134**, B911 (1964)

38.
Scattering of Electromagnetic Waves by a Ferrite in a Waveguide (with K.
Kalikstein), J. Math. Phys. **5,** 1261 (1964)

39.
Variational principles and minimum principles in scattering theory, ,
Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Zimowa Szkola Fizki
Teoretycznej, Karpacz, 1964. (Based on lectures at the Institute of Theoretical
Physics, University of Wroclaw, Winter School of Theoretical Physics, Karpacz,
Poland, April 1964), No. 8/79

40.
Notes on variational principles, variational bounds, and the few nucleon
problem, in *Few Nucleon* *Problems, Proceedings of the Ninth Summer
Meeting of Yugoslav Physicists, Hercegnovi, July, 1964*, edited by M.
Cerineo, (Federal Nuclear Energy Commission of Yugoslavia, Belgrade, 1965), Vol.
1, pp. 191-270

41.
Necessary conditions for the existence of bound states, in *Few
Nucleon Problems*, *Proceedings of the Ninth Summer Meeting of Nuclear
Physicists, Hercegnovi, July, 1964*, edited by M. Cerinco, (Federal Nuclear
Energy Commission of Yugoslavia, Belgrade, 1965), Vol. 1, pp. 271-317

42.
Extrapolation of Cross Section Data to Zero Energy for Long-Range
Effective Potentials (with R. Oppenheim Berger and T. F. O'Malley), Phys. Rev. **137**,
A1068 (1965)

43.
Coulombic Modified Effective-Range Theory for Long-Range Effective
Potentials (with R. Oppenheim Berger), Phys. Rev. **138**, B1106
(1965)

44.
Minimum-Principle Calculation of the Positron-Hydrogen s-Wave Phase Shift
(with Y. Hahn), Phys. Rev. **140**, A18
(1965)

45.
Higher Partial Waves in Positron-Hydrogen Scattering (with C. J. Kleinman
and Y. Hahn), Phys. Rev. **140**, A413
(1965)

46.
Relativistic versus Non-relativistic scattering of slow electrons, Phys.
Rev. Letters **16**, 1137 (1966); Review of *Quantum Mechanics,* by A. A. Sokolov, Y. M. Loskutov and I. M.
Ternay, Science **154**, 1161 (1966)

47.
Variational Lower Bounds on Electron-Hydrogen s-Wave Phase Shifts (with
I. Aronson, Y. Hahn, P. M. Henry and C. J. Kleinman) Phys. Rev. **153**, 73
(1967)

48.
Remarks on Variatonal Bounds in Scattering Theory (with Y. Hahn), Phys.
Rev. **153**, 1159 (1967);
Review of Variational Principles, by B. L. Moiseiwitsch, Mathematics of
Computation **21**, 284 (1967)

49.
Static Green's Function for Elastic Electron-Hydrogen Scattering and
Resonances (with I. Aronson, Y. Hahn, P. M. Henry and C. J. Kleinman), Phys.
Rev. **161**, 23 (1967)

50.
Non-adiabatic contributions to long-range electron-atom interactions
(with C. J. Kleinman and Y. Hahn), in *Fifth International Conference on the
Physics of Electronic and Atomic Collisions, Leningrad, July, 1967,* edited
by I. P. Flaks, (Nauka, Leningrad, 1967), p. 140

51.
On the number of bound states of a system (with F. Gertler and H.
Snodgrass), in Fifth International Conference on the Physics of Electronic and
Atomic Collisions, Leningrad, July, 1967, edited by I. P. Flaks, (Nauka,
Leningrad, 1967), p. 104

52.
Bounds on Cross Sections, in *The Physics of Electronic and Atomic
Collisions: Invited Papers from the Fifth International Conference, Leningrad,
July, 1967*, edited by L. M. Branscomb, (University of Colorado, Boulder,
1968), p. 89

53.
Dominant Nonadiabatic Contribution to the Long-Range Electron-Atom
Interaction (with C. J. Kleinman and Y. Hahn), Phys. Rev. **165**, 53 (1968)

54.
Variational principles and the three-body problem, in *Proceedings of
the Three-Particle Scattering Conference, College Station, Texas, April, 1968*,
edited by J. Gillespie and J. Nuttal, (W. A. Benjamin, inc., New York, 1968), p.
1-64

55.
Adiabatic Approximation and Necessary Conditions for the Existence of
Bound States, (with F. Gertler and H. Snodgrass), Phys. Rev. **172**, 110
(1968);

Review of Atomic Physics (Conference Proceedings, New York University July,
1968), edited by B. Bederson, V. Cohen, V. W. Hughes, F. M. J. Pichanick (Plenum
Press, New York, 1969), (with B. Bederson, V. W. Hughes), Phys. Today **23**,
113 (1969)

56.
Requirements for the existence of bound states, in *Lectures in
Theoretical Physics-Atomic Collision Processes*, edited by S. Geltman, K. T.
Mahanthappa and W. E. Brittin, (Gordon & Breach, New York, 1969), Vol. XI C,
p. 57

57.
Variational upper and lower bounds on transition amplitudes, in *Lectures
in Theoretical Physics-Atomic Collisions*, edited by S. Geltman, K. T.
Mahanthappa and W. E. Brittin, (Gordon & Breach, New York, 1969), Vol. XI C,
p. 77

58.
Tables of Coefficients to Determine the Long-Range Contributions to
Low-Energy Electron-Atom Scattering (with R. Oppenheim Berger and H. B.
Snodgrass), Phys. Rev. **185**, 113
(1969)

59.
Feynman Path Integrals and Scattering Theory (with D. Gelman), J. Math.
Phys. **10**, 2240 (1969)

60.
Variational Bound Principles for Scattering of Electromagnetic Waves by
Obstacles in a Waveguide (with I. Aronson, K. Kalikstein, C. J. Kleinman), IEEE
Trans. Microwave Theory and Technique **18**, 724 (1970)

61.
Low-Energy Scattering by Long-Range Potentials (with 0. Hinckelman),
Phys. Rev. A **3**, 642 (1971)

62.
Nonexistence of a Positron-Hydrogen-Atom Bound State (with I. Aronson and
C. J. Kleinman), Phys. Rev. A **4**, 841 (1971)

63.
Statistical Model of Atoms in Intense Magnetic Fields (with R. 0. Mueller
and A. R. P. Rau), Phys. Rev. Letters **26**, 1136 (1971)

64.
Magnetic Field Effects on the Outermost Crusts of Pulsars (with R. 0.
Mueller and A. R. P. Rau), Nature, Physical Science, **234**, 31 (1971)

65.
Kohn-Type Variational Principle for Three-Body Breakup Processes, (with
M. Lieber and L. Rosenberg), Phys. Rev. D **5**, 1330 (1972)

66.
Variational Principles for Three-Body Breakup Scattering (with M. Lieber
and L. Rosenberg), Phys. Rev. D **5**,
13

67.
Where Along the Periodic Table Will a g-electron First Appear? (with A.
R. P. Rau and R. 0. Mueller) Comm. Atom. Mol. Phys. **3**, 87 (1972)

68.
Identities Related to Variational Principles (with E. Gerjuoy and A. R.
P. Rau) J. Math. Phys. **13**, 1797 (1972)

69.
Upper and Lower Bounds on Quantum-Mechanical Matrix Elements (with R.
Blau and A. R. P. Rau), Phys. Rev. A **8**, 119 (1973)

70.
Stationary and Quasistationary Bounds on Arbitrary Bound-State Matrix
Elements (with R. Blau and A. R. P. Rau), Phys. Rev. A **8**, 131 (1973)

71.
Rearrangement Collisions at Very High Energies (with R. Shakeshaft),
Phys. Rev. A **8**, 206 (1973)

72.
Constructing Variational Principles (with E. Gerjuoy and A. R. P. Rau),
Phys. Rev. A **8**, 662 (1973)

73.
Simple Atomic Model and its Associated Wave Function (with R. 0. Mueller
and A. R. P. Rau), Phys. Rev. A **8**, 1186 (1973)

74.
Variational principles and atomic scattering, in *Fundamental
Interactions in Physics, Studies in the Natural Sciences*, edited by B.
Kursunoglu and A. Perlmutter, (Plenum, New York, 1973), Vol. 2, p. 213. (Based
on an invited paper at the First Decade of the Coral Gables Conferences,
January, 1973)

75.
Useful extremum principle for the variational calculation of matrix
elements (with E. Gerjuoy, A. R. P. Rau and L. Rosenberg), Phys. Rev. A **9**,
108 (1974)

76.
Adiabatic approximation and the other (lower) bound on the scattering
length (with Y. (Hahn), Phys. Rev. A **9**, 226 (1974)

77.
*The Ubiquitous Atom *(with G. Marmor Spruch), (Charles Scribner's Sons,.
New York, 1974). Chosen by the Library of Science Book Club and by the Natural
Science Book Club. Spanish language edition: *El Atomo Omnipresente *(Editores
Associados, S. A., Mexico City, 1977).

78.
Variational formulation of the coupled-state impact-parameter method
(with R. Shakeshaft). Phys. Rev. A **10**, 92 (1974)

79.
Variational estimates of < Σ
_{i}r^{q}_{i}>
for q = -1, 1 and 2 for atoms with Z from 2 to 18 (with R. 0. Mueller and A. R.
P. Rau). Phys. Rev. A **10**, 1511 (1974)

80.
Subsidiary minimum principles for scattering parameters (with L.
Rosenberg), Phys. Rev. A **10**, 2002 (1974)

81.
New stationary bounds on matrix elements including positron-atom
scattering lengths (with R. Blau and L. Rosenberg), Phys. Rev. A **10**, 2246
(1974)

82.
Rigorous staionary bounds on e^{-} -atom scattering lengths:
Target ground-state wave functions imprecisely known (with R. Blau and L.
Rosenberg), Phys. Rev. A **11**, 200
(1975

83.
Lowest energy levels of H^{-}, He, and Li^{+} in intense
magnetic fields (with R. 0. Mueller and A. R. P. Rau), Phys. Rev. A **11**,
789 (1975)

84.
Useful extremum principle for the variational calculation of matrix
elements. II. (with E. Gerjuoy and L. Rosenberg), J. Math. Phys. **16**, 455
(1975)

85.
Variational principles, variational identities, and supervariational
principles for wave functions (with E. Gerjuoy, A. R. P. Rau, and L. Rosenberg),
J. Math. Phys. **16**, 1104 (1975)

86.
Simple model and wave function for atoms in intense magnetic fields (with
A. R. P. Rau and R. 0. Mueller). Phys. Rev. A **11**, 1865 (1975)

87.
Threshold energy dependence as a function of potential strength and the
non-existence of bound states (with I. Aronson and C. J. Kleinman), Phys. Rev. A
**12**, 349 (1975)

88.
Variational *lower* bound on the scattering length (with L.
Rosenberg), Phys. Rev. A **12**, 1297 (1975)

89.
Stationary bounds on eigenphase shifts: Target wave functions imprecisely
known (with R. Blau and L. Rosenberg), Phys. Rev. A **12**, 1859 (1975)

90.
Recent Developments in Variational Principles and Variational Bounds: A
Road Map (with R. Blau, A. R. P. Rau, and L. Rosenberg), in *Electron and
Photon Interactions with Photons*, Conference proceedings, Stirling,
Scotland, July 1974, edited by H. Kleinpoppen and M. R. C. DcDowell, (Plenum
Publishing, New York, 1976), p. 601

91.
Variational principles, subsidiary extremum principles, and variational
bounds, in *The Physics of Electronic and Atomic Collisions*, Invited
Lectures, Review Papers, and Progress Reports of the IX International Conference
on the Physics of Electronic and Atomic Collisions, Seattle, July 1975, edited
by J. S. Risley and R. Geballe, (University of Washington Press, Seattle, 1976),
p. 685

92.
Energy levels of hydrogen in magnetic fields of arbitrary strengths (with
A.R.P. Rau). Ap. J. **207**, 671 (1976)

93.
A report on some few-body problems in atomic physics, Rapporteur's Talk,
in *Few Body Dynamics: Proceedings of the VII International Conference on Few
Body Problems in Nuclear and Particle Physics *(Delhi, December 29,
1975-January 3, 1976), edited by A.N. Mitra, I. Slaus, V.S. Bhasin, and V.K.
Gupta (North-Holland Publishing Co., 1976, Amsterdam), p. 715

94.
Do You Have a Fine 14th- or 20th-Century Mind? (with G. Marmor Spruch).
The New York Times, Op-Ed, p. 23, August 2, 1976. (Reprinted in a number of
newspapers including the Chicago Daily News and the Winnipeg Free Press;
reprinted in Inside AIP, house organ of the American Institute of Physics;
reprinted in Reader's Digest **110**, No. 659, March 1977, p. 127, and in
most of its foreign editions, as "Do You Have a Space-Age Mind?)

95.
US, Q&A, (with G. Marmor Spruch). The Sciences **16**, No. 6, 26
(1976). First of a regular series of quizzes. Reprinted in Inside AIP **16**,
No. 2 (1977)

96.
Application of an extremum principle to the determination of the
diamagnetic susceptibility and form factor of helium (with R. Shakeshaft and L.
Rosenberg). Phys. Rev. A**14**, 1989 (1976)

97.
Construction of variational principles and variational bounds in
waveguide scattering (with K. Kalikstein, C. J. Kleinman, and L. Rosenberg).
Proc. IEE **124**, 31 (1977)

98.
Useful variational principle for the scattering length for the target
ground-state wavefunction imprecisely known (with R. Blau and L. Rosenberg).
Phys. Rev. A **15**, 1475 (1977)

99.
Radiative Capture and Galilean Invariance (with R. Shakeshaft). Phys.
Rev. Lett. **38**, 175 (1977)

100.
Q&A, On Space, The Sciences **17**, No. 1, 34 (1977);

Q&A, Body Physics, The Sciences **17**, No. 2, 29 (1977);

Q&A, Return to Space, The Sciences **17**, No. 3, 30 (1977);

Q&A, Odd One Out, The Sciences **17**, No. 4, 30 (1977);

Q&A, More Misfits, The Sciences **17**, No. 5, 36 (1977);

Q&A, Two Cultures, The Sciences **17**, No. 6, 32 (1977);

Q&A, The Old Math, The Sciences **17**, No. 7, 31 (1977);

Q&A, Chemical Solutions, The Sciences **17**, No. 8, 32 (1977).

(Series of quizzes, with G. Marmor Spruch.)

101.
Retardation effects on high Rydberg states: A retarded R^{-5}
polarization potential (with E. J. Kelsey). Phys. Rev. A **18**, 15 (1978)

102.
Application of an extremum principle to the variational determination of
the generalized oscillator strengths of helium (with J . Wadehra and R.
Shakeshaft) Phys. Rev. A **18**, 344 (1978)

103.
Nonsingular Variational Principle for the Scattering Length for the
Target Wave Function Imprecisely Known (with L. Rosenberg). In *Atomic
Scattering Theory, Mathematical and Computational Aspects*, edited by J.
Nuttall (University of Western Ontario, 1978), p. 95

104.
Possibility of observing the second Born contribution to electron capture
at high impact velocities (with R. Shakeshaft), J. Phys. B: Atom. Molec. Phys. **11**,
L457 (1978).

105.
Vacuum fluctuation and retardation effects on long-range potentials (with
E. J. Kelsey), Phys. Rev. A **18,** 845 (1978).

106.
Retardation effects and the vanishing as R ~ infinity of the nonadiabatic
R^{-6} interaction of the core and a high Rydberg electron (with E. J.
Kelsey), Phys. Rev. A **18**, 1055 (1978).

107.
Continuum electron capture at high impact velocities (with R.
Shakeshaft), J. Phys. B: Atom. Molec. Phys. **11**, L621 (1978).

108.
Asymmetry in the Cusp of the Cross Section for Electron Capture to the
Continuum for a Fast Bare Ion on a Hydrogenlike Atom (with R. Shakeshaft), Phys.
Rev. Lett. **41**, 1037 (1978).

109.
High-impact-velocity forward charge transfer from high-Rydberg states as
a classical process, Phys. Rev. A **18**, 2016
(1978

110.
Q & A, Letters from Greece, The Sciences **18**, No. 1, 32 (1978);

Q & A, Eat, Drink and Be Merry, The Sciences **18**, No. 2, 32 (1978);

Q & A, Chemical Action, The Sciences **18**, No. 3, 32 (1978).

Q & A, The Art of Science, The Sciences **18**, No. 4, 32 (1978);

Q & A, It's Greek Again, The Sciences **18**, No. 5, 36 (1978);

Q & A, Math Wiz, The Sciences **18**, No. 6, 32 (1978);

Q & A, The Sciences **18,** No. 8, 30 (1978);

Q & A, The Women's Questions, The Sciences **18**, No. 9, 34 (1978);

Q & A, Head Hunting, The Sciences **18**, No. 10, 35 (1978).

111.
The classical cross section for charge transfer via knock-on from high
Rydberg states, at asymptotically high impact velocities (with R. Shakeshaft),
Phys. Rev. A **19**, 1023 (1979).

112.
Mechanisms for charge transfer (or for the capture of any light particle)
at asymptotically high impact velocities (with R. Shakeshaft), Rev. Mod. Phys. **51**,
369 (1979).

113.
Application of a variational principle for the scattering length for the
target wave function imprecisely known (with I. Aronson, R. Blau, C.J. Kleinman,
and L. Rosenberg), Phys. Rev. A **19**, 1568 (1979).

114.
Reply to "Comment on the asymmetry in the cusp of the differential
cross section for charge capture to the continuum" (with R. Shakeshaft),
Phys. Rev. A **20,** 376 (1979).

115.
Q & A, Going Public, The Sciences **19**, No. 1, 31 (1979);

Q & A, Heads, You Win, The Sciences **19**, No. 2, 31 (1979);

Q & A, Centenary Quiz, The Sciences **19**, No. 3, 35 (1979);

Q & A, Frags, The Sciences **19**, No. 4, 31 (1979);

Q & A, Picture Show, The Sciences **19**, No. 5, 31 (1979);

Q & A, Science in the News, The Sciences **19**, No. 6, 31 (1979);

Q & A, More Frags, The Sciences **19**, No. 7, 31 (1979);

Q & A, Additional Mathematics, The Sciences **19**, No. 8, 31 (1979);

Q & A, Sound and Music, The Sciences **19**, No. 9, 31 (1979);

Q & A, Merry Birthday, The Sciences **19**, No. 10, 34 (1979).

A series of quizes, written with G. M. Spruch, in the journal of the New York
Academy of Sciences.

116.
Quantum treatment of the capture of an atom by a fast nucleus incident on
a molecule (with R. Shakeshaft). Phys. Rev. A **21**, 1161 (1980).

117.
On the radiative corrections to the energy levels of 'murium', an
electron bound by its image charge to a wall (with R. Shakeshaft). Phys. Rev. A **22**,
811 (1980).

118.
Large-momentum-transfer limit of some matrix elements (with J. Wadehra).
Phys. Rev. A **22**, 956 (1980).

119.
Report on XI ICPEAC, Kyoto, 1979; Theory I. Comm. Atom. and Molec.
Physics **IX**, 183 (1980).

120.
Report on XI ICPEAC, Kyoto, 1979; Theory II. Comm. Atom. and Molec.
Physics **IX**, 193 (1980).

121.
Method for phaseshift analysis of e^{±}-atom elastic scattering
(with E.J. Nowak and L. Rosenberg). J. Phys. B: Atom. Molec. Phys. **13**
(1980) L 599.

122.
Q & A, A Matter of Energy, The Sciences **20**, No. 1, 30 (1980);

Q & A, Encore Sound and Music, The Sciences **20**, No. 2, 30 (1980);

Q & A, Best Sellers of the Universe, The Sciences **20**, No. 3, 31
(1980);

Q & A, Famous Figures, The Sciences **20**, No. 4, 30 (1980);

Q & A, Much Ado About Things, The Sciences **20**, No. 5, 30 (1980);

Q & A, Famous Formulas, The Sciences **20**, No. 6, 31 (1980);

Q & A, Playing the Numbers, The Sciences **20**, No. 7, 33 (1980);

Q & A, More Famous Formulas, The Sciences **20**, No. 9, 31 (1980);

Q & A, Science Loves New York, The Sciences **20**, No. 10, 46 (1980);

A series of quizzes, written with G. M. Spruch, in the journal of the New York
Academy of Sciences.

123.
Truncated expansion of the ground-state energy of a neutral atom in
powers of Z^{-1/3}: coefficients of the leading terms (with R.
Shakeshaft and J.B. Mann). J. Phys. B: Atom. Molec. Phys. **14**, L121
(1981).

124.
Remarks on the existence and accuracy of the Z^{-1/3} expansion
of the nonrelativistic ground-state energy of a neutral atom (with R.
Shakeshaft), Phys. Rev. A **23**, 2118
(1981

125.
Q & A, On Time, The Sciences **21**, No. 2, 31 (1981);

Q & A, Playing the Numbers Again, The Sciences **21**, No. 4, 35 (1981);

Q & A, Gene Twisters, The Sciences **21**, No. 7, 40 (1981);

Q & A, Time Teasers, The Sciences **21**, No. 9, 36 (1981);

(with G.M. Spruch). A series of quizzes, in the journal of the New York Academy
of Sciences.

126.
"*21 Astounding Science Quizzes"* (with G.M. Spruch),
(Barnes and Noble Books, a division of Harper and Rowe, New York 1982).

127.
Q & A, Optic Topics, The Sciences **22**, No. 2, 32 (1982);

Q & A, Word Play, The Sciences **22**, No. 4, 36 (1982).

128.
A unified formulation of the construction of variational principles (with
E. Gerjuoy and A. R. P. Rau), Rev. Mod. Phys. **55**, 725
(1983).

129.
Heavy particle collisions (with R. Shakeshaft), invited paper, *Eighth
International Conference on Atomic Physics*, Göteborg, Sweden, Aug. 1982,
edited by I. Lindgren, A. Rosen, and S. Svanberg (Plenum, New York), 395(1983).

130.
Electron-atom scattering—the state of the theory. Based on invited
paper at the Second George Shulz Memorial Symposium, Yale University. Comm.
Atom. Molec. Phys. **14**, 71 (1983).

131.
Radiative capture estimates via analytic continuation of
elastic-scattering data, and the solar-neutrino problem (with Z. R. Iwinski and
L. Rosenberg), Phys. Rev. C **29**, 349
(1984

132.
Angular-distribution peak at 60° in electron capture from a heavy atom
by a fast light ion (with R. Shakeshaft), Phys. Rev. A **29**, 605 (1984).

133.
Variational bounds on the temperature distribution function (with K.
Kalikstein and A. Baider), J. Math. Phys. **25**, 228 (1984).

134.
Variational principles for functionals of the temperature T and for T
itself in heat transfer problems (with K. Kalikstein), Phys.
Rev. A **29**, 832(1984).

135.
Simple heuristic derivation of some charge transfer probabilities at
asymptotically high incident velocities (with R. Shakeshaft), Phys.
Rev. A **29**, 2283 (1984).

136.
Photoexcitation and photoejection of an electron bound to a wall by the
image potential (with R. Shakeshaft), Phys.
Rev. A **31**, 1535 (1985).

137.
Semiclassical evaluation of sums of squares of hydrogenic bound state
wave functions (with R. Shakeshaft), J. Phys. B: At. Mol. Phys. **18**, 1919
(1985).

138.
Nodal structure of zero-energy wave functions: New approach to Levinson's
theorem (with Z.R. Iwinski and L. Rosenberg), Phys.
Rev. A **31**, 1229 (1985).

139.
Levinson's theorem and the nodes of zero energy wave functions for
potentials with repulsive Coulomb tails (with Z.R. Iwinski and L. Rosenberg), Phys.
Rev. Lett. **54**, 1602 (1985).

140.
Nodal structure and phase shifts of zero-incident-energy wave functions:
Multiparticle single-channel scattering (with Z.R. Iwinski and L. Rosenberg) Phys.
Rev. A **33**, 946 (1986).

141.
Retarded, or Casimir, long-range potentials. Physics Today **39**,
37 (1986)

Reply to a letter by J. P. Dowling on above article, Physics Today **39**, 37
(1986).

Above article translated into Japanese and reprinted in Parity **2**, 20
(1987).

142.
Extremum principles for the determination of the energies of relativistic
bound states (with L. Rosenberg), Phys.
Rev. A **34**, 1720 (1986).

143.
Hartree-Fock calculations of the ratio of bound-state to continuum beta
decay of ^{187}Re, the chronometric partner of ^{187}Os (with Z.
Chen and L. Rosenberg), Phys.
Rev. A **35**, 1981 (1987).

144.
Relative contributions of the electron-electron and electron-nuclear
interactions to the ground state energy of a neutral atom (with Z. Chen), Phys.
Rev. A **35**, 4035 (1987).

145.
Retardation (Casimir) effects on high—and not so high—Rydberg states
of helium (with J.F. Babb), Phys.
Rev. A **36**, 456 (1987).

146.
Effect of infrared radiation on the threshold behavior of inelastic
processes (with A. Mohanty and L. Rosenberg), Phys.
Rev. A **37**,412 (1988).

147.
Evaluation of retardation energy shifts in a Rydberg helium atom, with
J.F. Babb. Phys. Rev. A **38**,
13 (1988).

148.
On the beta-decay of ^{187}Re: An Interface of Atomic and Nuclear
Physics and of Cosmochronology, with Z. Chen and L. Rosenberg, Adv. At. Mol.
Opt. Phys. **26**, 297-319 (1989), D. Bates and B. Bederson, editors.

149.
Atomic effects in beta-decay, with one application to astrophysics and
one to elementary particle physics, with Z. Chen, in *Relativistic,
Quantum-Electrodynamic, and Weak Interaction Effects in Atoms*, Santa
Barbara, CA, W. Johnson, P. Mohr, and J. Sucher, editors, AIP Conference
Proceedings No. 189, 1989, pp. 460-478.

150.
Casimir interactions in atomic physics: a mini-review, with emphasis on
the non-mathematical aspects, with J.F. Babb. Invited paper, in *Spectroscopy
and Collisions of Few Electron Ions*, Bucharest, Romania, 1988, M. Ivascu, V.
Fiorescu and V. Zoran, editors (World Scientific, Singapore, 1989), p. 33.

151.
Retardation (Casimir) effect for a multielectron core system and a
Rydberg electron, with J.F. Babb,
Phys. Rev. A **40**, 2917 (1989).

152.
Atomic screening effects on electron-neutrino angular correlation and
beta-decay asymmetry in allowed transitions, with Z. Chen and W.R. Johnson, Phys.
Rev. C **40**, 1376 (1989).

153.
First experiments with the Heidelberg test storage ring TSR, with D.
Habs, *et al.*, Nuclear Instruments and Methods B**43**, 390 (1989).

154.
Lower bounds on the ground-state energy, and necessary conditions for the
existence of bound states: the potential problem, with Z. Chen., Phys.
Rev. A **42**, 127 (1990).

155.
Lower bounds on the ground-state energy, and necessary conditions for the
existence of bound states: the few-body problem, with Z. Chen., Phys.
Rev. A **42**, 133 (1990).

156.
Semi-classical estimation of the radiative lifetimes of highly excited
hydrogen?like states, with H. Marxer, Phys.
Rev. A **43**, 1268 (1991).

157.
Semi-classical estimation of the radiative lifetimes of electrons in
(Landau) bound states in a magnetic field, with H. Marxer, Phys.
Rev. A **43**, 6108 (1991).

158.
Pedagogical notes on Thomas-Fermi theory (and on some improvements):
atoms, stars, and the stability of bulk matter. Rev. Mod. Phys. **63**,
151-209 (1991).

Letter on Casimir effects in Phys. Today **44**, 15 (1991).

159.
Retardation (Casimir) energy shifts for Rydberg helium-like low-Z ions,
with J.F. Babb, D. Habs, and A. Wolf, Z. Phys. D. -Atoms, Molecules and Clusters
**23**, 197 (1992).

160.
An Overview of Long-Range Forces, Chapter I in L*ong-Range Casimir
Forces: Theory and Recent Experiments in Atomic Systems*, Volume I, pp. 1-71,
in *Finite Systems and Multiparticle Dynamics*, Plenum Press, New York,
1993, F.S. Levin and D.A. Micha, editors.

161.
Elementary approximate derivations of the retarded Casimir interactions
involving one or two dielectric walls (with Y. Tikochinsky). Phys.
Rev. A **48**, 4213 (1993).

162.
Retarded Casimir interaction in the asymptotic domain of an electron and
dielectric wall (with Y. Tikochinsky), Phys.
Rev. A **48**, 4223 (1993).

163.
Retarded electric and magnetic Casimir interaction of a polarizable
system and a dielectric permeable wall (with Y. Tikochinsky), Phys.
Rev. A **48**, 4236 (1993).

164.
Temperature-induced transition rates for some hydrogenic states (with F.
Zhou), Phys. Rev. A **49**,
718 (1994).

165.
The asymptotic retardation (Casimir) potential for the Rydberg hydrogen
molecule (with J. F. Babb),
Phys. Rev. A **50**, 3845 (1994).

166.
Simple derivation of the asymptotic Casimir interaction of a pair of
finite systems (with J. F. Babb and F. Zhou), Phys.
Rev. A **49**, 2476 (1994).

167.
van der Waals and retardation (Casimir) interactions of an electron or
atom with multilayered walls (with F. Zhou), Phys.
Rev. A **52**, 297 (1995).

168.
Nonadiabatic coefficients of long-range effective potentials and the
Faraday effect. (with C. Krauthauser, E. J. Robinson, and L. Rosenberg), Phys.
Rev. A **53**, 2289 (1996), Phys.
Rev. A **54**, 2514 (1996).

169.
Absolute determination of zero-energy phase shifts for multiparticle
single-channel scattering (with L. Rosenberg), Phys.
Rev. A **54**, 4978 (1996).

170.
A generalized Levinson theorem: Applications to electron-atom scattering
(with L. Rosenberg), Phys.
Rev. A **54**, 4985 (1996).

171.
Long-range (Casimir) interactions, Science 272, 1452 (1976) Invited article.

172.
Near-degeneracy effects in some highly charged few-electron Rydberg ions
(with S. D. Frischat, T. Schüssler, and A. Wolf), Phys.Rev.A
55, 3453(1997)

173.
Physics adores a vacuum. Physics World, **10**, 22 (1997).

174.
Unified treatment of some Casimir energies and Lamb shifts: A dielectric
between two ideal conductors (with M. Schaden and F. Zhou), Phys.
Rev. A **57**, 1121 (1998).

175.
M. Schaden, L. Spruch, Infinity-free Semiclassical Evaluation of
Casimir Effects, Phys.
Rev. A **58** 935
(1998).

176.
P.W. Milonni, M. Schaden, L. Spruch, Lamb Shift of an Atom in a Dielectric
Medium, Phys.
Rev. A **59, **4259 (1999).

177.
M. Schaden, L. Spruch, Focusing virtual photons: Casimir energies for some
pairs of conductors, Phys.
Rev. Lett. v**84**, p 459 (2000).

178.
M. Schaden, L. Spruch, Semiclassical Evaluation of Some Casimir
Effects, Comments on Modern Physics **1D** (2000) 275.

179.
L. Spruch, M. Schaden, Casimir Effects and Lamb Shifts, Comments
on Modern Physics **1D** (2000) 337.

180.
Alpha Cipher, Tough Puzzles, to be published.

181. M. Schaden, L. Spruch, Temperature Dependent Casimir Effects, submitted for publication.