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RESEARCH INTERESTS in THEORETICAL PHYSICS

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

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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)

"Revised Theory of Tachyons in General Relativity,"

"Tachyon Dynamics - for Neutrinos?"

"An Approach for Modelling Tachyons with Gravitation,"

"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,"

"A Consistent Theory of Tachyons with Interesting Physics for Neutrinos,"

"Theoretical Search for Gravitational Bound States of Tachyons,"

"Tachyon Interactions," (9/15/2022), posted at arXiv:2209.10520

"Note on Dark Matter," (9/26/2022), posted here

"Proposed Experiments re Tachyon-Neutrinos," (10/12/2022), posted here