RESEARCH INTERESTS in THEORETICAL PHYSICS
Applications of Quantum Theory to atoms, nuclei, particles and
fields
with the development of mathematical and computational techniques.
--------------------------------------------------------
RECENT 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]