Charles L. Schwartz

  •  born  1931, Brooklyn, New York
  • Massachusetts Institute of Technology:  S.B. 1952;  Ph.D. 1954; Research Associate in Physics 1954-56
  • Stanford University, Department of Physics:  Research Associate 1956-57; Assistant Professor 1957-60
  • University of California, Berkeley, Department of Physics:  Assistant Professor 1960-62; Associate Professor 1962-67; Professor 1967-92; Professor Emeritus 1993-

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    Applications of Quantum Theory to atoms, nuclei, particles and fields with the development of mathematical and computational techniques.


    RECENT (post-retirement) PUBLICATIONS

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

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

    "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

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

    "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

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

    "Experiment and Theory in Computations of the He Atom Ground State" Int. J. Mod. Phys E15; 877 (2006); e-Print arXiv: physics/0208004
    Updated result: E = -2.90372 43770 34119 59831 11592 45194 40444 66969 25310 5; e-Print arXiv:math-ph/0605018
    and a byproduct:  multiple precision arithmetic package

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

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

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

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

    "Numerical Method in Classical Dynamics," e-Print arXiv:1007.1258 [physics.class-ph]; version 2 posted 3/20/2017

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

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

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

    "Numerical Calculation of Bessel Functions," Int. J. Mod. Phys. C 23 (12) 1250084 (2012); e-Print arXiv:1209.1547 [math.NA] [physics.comp-ph]

    "More Special Functions Trapped," Int. J. Mod. Phys. C 24 (2) 1350004 (2013); e-Print arXiv:1210.6247 [math.NA][physics.comp-ph]

    "Linear Equations for Noncommutative Algebras," (2013) posted here 

    "Extending Differential Calculus for Noncommuting Variables," Electronic Journal of Theoretical Physics Vol. 11, No. 31, 89 (2014)

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

    "Revised Theory of Tachyons in General Relativity," Mod. Phys. Lett. A 32, 1750126 (2017); e-Print arXiv:1703.00821v2 [gen-ph] [gr-qc]

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

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

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

    "Debunking the Anti-Tachyon Myths," unpublished notes (12/13/2020), posted here

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

    "A Consistent Theory of Tachyons with Interesting Physics for Neutrinos,"  Symmetry 14, 1172 (2022); e-Print arXiv: 2205.03227v2 [gen-ph] (2022)

    "Theoretical Search for Gravitational Bound States of Tachyons," Particles 5(3), 331 (2022); e-Print arXiv: 2208.13631v2 [gen-ph] (2022)

    "Tachyon Interactions," Symmetry 15 (1), 209 (2023); arXiv:2209.10520v3

    "Two Proposed Experiments for the Tachyon-Neutrino Theory of Dark Matter," posted at doi: 10.20944/preprints202312.0775v1