Charles Schwartz

RESEARCH PAPERS in THEORETICAL PHYSICS : copies available here

1. The Ground States of Odd-Odd Nuclei.
Phys. Rev. 94; 95 (1954)

2. Many-Particle Configurations in a Central Field.
(with A. de-Shalit) Phys. Rev. 94; 1257 (1954)

3. Theory of Hyperfine Structure. (Ph.D. thesis)
Phys. Rev. 97; 380 (1955)

4. Hyperfine Structure Anomaly in Atomic P-States.
Phys. Rev. 99; 1035 (1955)

5. Theory of Hyperfine Structure.
Phys. Rev. 105; 173 (1957)

6. Center-of-Mass Motion in Many-Particle Systems.
(with S. Gartenhaus) Phys. Rev. 108; 482 (1957)

7. Sum Rules for Inelastic Electron Scattering.
(with S. D. Drell) Phys. Rev. 112; 568 (1958)

8. Calculations in Schrodinger Perturbation Theory.
Ann. Phys. 6; 156 (1959)

9. Uses of Approximate Wave Functions.
Ann. Phys. 6; 170 (1959)

10. New Calculation of the Numerical Value of the Lamb Shift.
(with J. J. Tiemann) Ann. Phys. 6; 178 (1959)

11. Variational Calculations of Scattering.
Ann. Phys. 16; 36 (1961)

12. Electron Scattering from Hydrogen.
Phys. Rev. 124; 1468 (1961)

13. Lamb Shift in the Helium Atom.
Phys. Rev. 123; 1700 (1961)

14. Importance of Angular Correlations between Atomic Electrons.
Phys. Rev. 126; 1015 (1962)

15. Ground State of the Helium Atom.
Phys. Rev. 128; 1146 (1962)

16. Estimating Convergence Rates of Variational Calculations.
in B. Alder, S. Fernbach and M. Rotenberg, eds., "Methods in Computational Physics," Vol. 2, Academic Press, New York (1963)

17. Fine Structure of Helium.
Phys. Rev. 134; A1181 (1964)

18. Numerical Solution of Fixed-Source Field Theories.
Phys. Rev. 137; B212 (1965)

19. Solution of a Bethe-Salpeter Equation.
Phys. Rev. 137; B717 (1965)

20. A Study of Some Approximation Schemes in Quantum Mechanics.
Ann. Phys. 32; 277 (1965)

21. Theory and Calculation of Scattering with the Bethe-Salpeter Equation.
(with C. Zemach) Phys. Rev. 141; 1454 (1966)

22. Application of the Schwinger Variational Principle for Scattering.
Phys. Rev. 141; 1468 (1966)

23. Analyticity as a Useful Computational Tool.
(with L. Schlessinger) Phys. Rev. Lett. 16; 1173 (1966)

24. Information Content of the Born Series.
J. Comp. Phys. 1; 21 (1966)

25. Generalized Eigenvalue Problems.
Ann. Phys. 42; 367 (1967)

26. Numerical Techniques in Matrix Mechanics.
J. Comp. Phys. 2; 90 (1967)

27. Calculations of Scattering with the Bethe-Salpeter Equation.
(with B. C. McInnis) Phys. Rev. 177 No. 5, Part II; 2621 (1969)

28. Variational Principles for Integrals.
J. Comp. Phys. 3; 512 (1969)

29. Numerical Integration of Analytic Functions.
J. Comp. Phys. 4; 19 (1969)

30. Generalized Bethe-Salpeter Equations for Coupled Two- and Three-Body Amplitudes. 
in  J. Gillespie and J. Nuttall, eds., "Three-Particle Scattering in Quantum Mechanics," Proceedings of the Texas A&M Conference, W. A. Benjamin, Inc., New York (1968)

31. Precise Schrodinger Wave Functions for Two Electron Atoms.
in V. W. Hughes et al, eds., "Atomic Physics," Proceedings of the First International Conference on Atomic Physics, June 3-7, 1968, New York City, Plenum Press, New York (1969)

32. Inhibited Magnetic Dipole Decay in Simple Atoms.
unpublished (October 1970)

33. Almost Singular Potentials.
J. Math. Phys. 17; 863 (1976)

34. A Classical Perturbation Theory.
J. Math. Phys. 18; 110 (1977); Addendum-ibid. 18; 1139 (1977)

35. Large-N Classical Solution for the One-Matrix Model.
(with M. B. Halpern) Phys. Rev. D 24; 2146 (1981)

36. Some Improvements in the Theory of Faster-Than-Light Particles.
Phys. Rev. D 25; 356 (1982)

37. A Class of Discontinuous Integrals Involving Bessel Functions.
J. Math. Phys. 23; 2266 (1982)

38. High-Accuracy Approximation Techniques for Analytic Functions.
J. Math. Phys. 26; 411 (1985)

39. Numerical Integration in Many Dimensions I.
J. Math. Phys. 26; 951 (1985)

40. Numerical Integration in Many Dimensions II.
J. Math. Phys. 26; 955 (1985)

41. Numerical Integration in Many Dimensions III.
J. Math. Phys. 27; 488 (1986)

42. Nonlinear Operators and their Propagators.
J. Math. Phys. 38; 484 (1997)

43. Nonlinear Operators II.
J. Math. Phys. 38; 3841 (1997)

44. Asymptotic Search for Ground States of SU(2) Matrix Theory.
(with M. B. Halpern) Int. J. Mod. Phys. A13; 4367 (1998)
e-Print Archive: hep-th/9712133

45. The Algebras of Large N Matrix Mechanics.
(with M. B. Halpern) Int. J. Mod. Phys. A14; 3059 (1999)
e-Print Archive: hep-th/9809197

46. Infinite Dimensional Free Algebra and the Forms of the Master Field.
(with M. B. Halpern) Int. J. Mod. Phys. A14; 4653 (1999)  
e-Print Archive: hep-th/9903131

47. Computations in Large N Matrix Mechanics.
Phys. Rev. D60;105010 (1999)     e-Print Archive: hep-th/9907151

48. Experiment and Theory in Computations of the He Atom Ground State.
Int. J. Mod. Phys. E15;877 (2006)     e-Print arXiv: physics/0208004
Updated results in e-Print arXiv: math-phys/0605018

49. A Relativistic Quaternionic Wave Equation.
J. Math. Phys. 47, 122301 (2006)   e-Print arXiv: hep-th/0607121

50. Relativistic Quaternionic Wave Equation II.
J. Math. Phys. 48, 052303 (2007)   e-Print arXiv: hep-th/0701155

51. Calculus with a Quaternionic Variable.
J. Math. Phys. 50, 013523 (2009) e-Print arXiv: 0812.1185 [math.FA]

52. Analytic Functions of a General Matrix Variable.
e-Print arXiv: 0804.2869 [math.FA]

53. Tachyons in General Relativity.
J. Math. Phys. 52, 052501 (2011) e-Print arXiv:1011.4847 [math-ph]

54. Tachyons and Gravitational Cherenkov Radiation.
Mod. Phys. Lett. A 26 (30), 2223 (2011) e-Print arXiv:1104.2927 [hep-th]

55. Numerical Calculation of Bessel Functions.
Int. J. Mod. Phys. C 23, 1250084 (2012) e-Print arXiv:1209.1547 [math.NA] [phys.comp-ph]

56. More Special Functions Trapped.
Int. J. Mod. Phys. C 24, 1350004 (2013) e-Print arXiv:1210.6247 [math.NA] [phys.comp-ph]

57. A Conjecture about Conserved Symmetric Tensors.
Elect. J. of Theoretical Physics Vol. 10, No. 29, 133 (2013) e-Print arXiv:1206.2594 [math-ph]

58. Extending Differential Calculus for Noncommuting Variables.
Elect. J. of Theoretical Physics Vol. 11, No. 31, 89 (2014)

59. Toward a Quantum Theory of Tachyon Fields.
Int. J. Mod. Phys. A 31, 1650041 (2016); e-Print arXiv 1603.01294 [hep-th]

60. Revised Theory of Tachyons in General Relativity.
Mod. Phys. Lett. A 32, 1750126 (2017); e-Print arXiv:1703.00821 [gen-ph]

61. Tachyon Dynamics - for Neutrinos?
Int. J. Mod. Phys. A 33, 1850056 (2018); e-Print arXiv:1710.09904 [gen-ph] (2017)

62. If Neutrinos are Tachyons, we may explain Dark Energy and Dark Matter
Conference talk 3/30/2019

63. An Approach for Modelling Tachyons with Gravitation
Int. J. Mod. Phys. A 34, 1950103 (2019); e-Print arXiv:1902.03621v3 [gr-qc]

64. Tachyons with any Spin
Int. J. Mod. Phys. A 37, 2250001 (2022); e-Print arXiv: 2105.03017v3 [gen-ph] (2021)

65. A Consistent Theory of Tachyons with Interesting Physics for Neutrinos
Symmetry 14, 1172 (2022)