The method of finite differences for some operator field equations
type: Item
instance of: scholarly article
title: The method of finite differences for some operator field equations
zbMATH Open document ID: 0623.65134
DOI: 10.1007/BF00423450
author: Miguel Lorente
published in: Letters in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: We propose a new approach to the formulation of some operator field equations. In section 1 we study the consistency of some particular difference equations and the convergence of the exact solutions. In section 2 we apply these results to the quantum mechanical system in one dimension and obtain explicit and general expressions for the transfer operator and for the corresponding matrix elements.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4011875
zbMATH Keywords: Heisenberg equation
zbMATH Keywords: operator field equations
zbMATH Keywords: consistency
zbMATH Keywords: convergence
zbMATH Keywords: quantum mechanical system
zbMATH Keywords: transfer operator
MaRDI profile type: Publication
cites work: Q5536978
cites work: Space-time groups for the lattice
cites work: Q5653193
full work available at URL: https://doi.org/10.1007/bf00423450
OpenAlex ID: W2035637419
description: scientific article; zbMATH DE number 4011875