RESEARCH INTERESTS in THEORETICAL PHYSICS
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)