Feynman's formula in phase space for systems of pseudodifferential equations with analytic symbols
type: Item
instance of: scholarly article
title: Feynman's formula in phase space for systems of pseudodifferential equations with analytic symbols
zbMATH Open document ID: 0796.35184
DOI: 10.1007/BF01262176
author: R. S. Egikyan
author: D. V. Ktitarev
published in: Mathematical Notes
publication date: 1994-04-12T00:00:00Z
review text: We consider the class of systems of second-order equations with unbounded pseudodifferential operators, including systems of differential equations with increasing coefficients. This class contains, in particular, the Dirac equation, as well as the Schrödinger equation for an anharmonic oscillator. In the present article the existence of a local solution is proved for this class of systems and a representation of the solution in the form of a Feynman path integral is presented.
Mathematics Subject Classification ID: 35S10
Mathematics Subject Classification ID: 81S40
Mathematics Subject Classification ID: 35Q40
zbMATH DE Number: 525669
zbMATH Keywords: Dirac equation
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: existence of a local solution
zbMATH Keywords: Feynman path integral
MaRDI profile type: Publication
cites work: Q5569065
cites work: Space-Time Approach to Non-Relativistic Quantum Mechanics
cites work: Q5808624
cites work: Q5508009
cites work: Feynman-Kac formula associated with a system of partial differential operators
cites work: Feynman's formula in a phase space for a certain class of systems of pseudodifferential equations
cites work: Propagation of a Dirac particle. A path integral approach
cites work: Q4014492
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cites work: Functional integral and the Feynman-Kac formula in superspace
full work available at URL: https://doi.org/10.1007/bf01262176
OpenAlex ID: W2092078529
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description: scientific article; zbMATH DE number 525669