Discrete time quantum mechanics
type: Item
instance of: scholarly article
title: Discrete time quantum mechanics
zbMATH Open document ID: 0810.65124
DOI: 10.1016/0898-1221(94)00198-7
publication date: 1995-04-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-ph/9305246
review text: The paper presents schemes for solving quantum problems based on the finite element method. The authors discuss one-particle quantum system discrete-time operator equations, Hamiltonian systems (such as spin systems), problems of systems with two degrees of freedom and with an infinite number of degrees of freedom, scalar quantum field theory, Dirac equation and spinor field theories, and quantum field theory exhibiting local gauge invariance (the Schwinger model, Dirac equation, Yang-Mills equations).
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 699047
zbMATH Keywords: finite element method
zbMATH Keywords: discrete-time operator equations
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: spin systems
zbMATH Keywords: Dirac equation
zbMATH Keywords: spinor field theories
zbMATH Keywords: Schwinger model
zbMATH Keywords: Yang-Mills equations
author: Carl M. Bender
author: Lawrence R. Mead
author: Kimball A. Milton
MaRDI profile type: Publication
OpenAlex ID: W2067545246
arXiv ID: hep-ph/9305246
cites work: Continuous Hahn polynomials and the Heisenberg algebra
cites work: The Hahn and Meixner polynomials of an imaginary argument and some of their applications
cites work: Continuous Hahn polynomials
cites work: Polynomials and operator orderings
cites work: Q4113353
published in: Computers & Mathematics with Applications
description: scientific article