Discrete time quantum mechanics

DOI10.1016/0898-1221(94)00198-7zbMath0810.65124arXivhep-ph/9305246OpenAlexW2067545246MaRDI QIDQ1339293

Kimball A. Milton, Carl M. Bender, Lawrence R. Mead

Publication date: 24 April 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/9305246

zbMATH Keywords

finite element methodHamiltonian systemsDirac equationspin systemsSchwinger modelYang-Mills equationsdiscrete-time operator equationsspinor field theories

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05)

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Cites Work

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• Polynomials and operator orderings
• The Hahn and Meixner polynomials of an imaginary argument and some of their applications
• Continuous Hahn polynomials
• Continuous Hahn polynomials and the Heisenberg algebra