Canonical transformation in the path integral and the operator formalism
type: Item
instance of: scholarly article
title: Canonical transformation in the path integral and the operator formalism
zbMATH Open document ID: 0644.58034
DOI: 10.1016/0003-4916(88)90049-8
author: Hiroki Fukutaka
author: Taro Kashiwa
published in: Annals of Physics
publication date: 1988-01-01T00:00:00Z
review text: A general framework of canonical transformations in the path integral is presented under the guidance of classical mechanics. The master equation is given in terms of the difference instead of the differential in classical mechanics. In the case of infinitesimal transformations the operator counterpart is found to be a PQ-ordered form of the classical generator. A path integral formula for polar coordinates is also discussed to be understood as a faithful representation of the Schrödinger equation.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 81S40
zbMATH DE Number: 4050607
zbMATH Keywords: path integral
zbMATH Keywords: classical mechanics
zbMATH Keywords: master equation
zbMATH Keywords: infinitesimal transformations
zbMATH Keywords: Schrödinger equation
MaRDI profile type: Publication
full work available at URL: 0003-4916(88)90049-8
OpenAlex ID: W2016557595
cites work: Hamiltonian Path-Integral Methods
cites work: Q3953228
cites work: Quantum mechanics of a nonlinear system.
cites work: Q5530857
description: scientific article; zbMATH DE number 4050607