Quantum mechanics in nonintertial reference frames. I: Nonrelativistic quantum mechanics
type: Item
instance of: scholarly article
title: Quantum mechanics in nonintertial reference frames. I: Nonrelativistic quantum mechanics
zbMATH Open document ID: 0934.70014
published in: Annals of Physics
publication date: 2000-04-09T00:00:00Z
review text: Projective representations of the group of acceleration transformations are constructed, and the resulting unitary operators are shown to implement arbitrary accelerations. These results are then used to modify the time-dependent Schrödinger equation to produce the quantum mechanical analogs of fictitious forces of classical mechanics. The author also considers various implications for the internal structure of quantum mechanics and for the theory of gravitational forces.
Mathematics Subject Classification ID: 70G99
Mathematics Subject Classification ID: 81S99
Mathematics Subject Classification ID: 81R05
zbMATH DE Number: 1294523
zbMATH Keywords: group of acceleration transformations
zbMATH Keywords: time-dependent Schrödinger's equation
zbMATH Keywords: fictitious forces
zbMATH Keywords: theory of gravitational forces
author: W. H. Klink
reviewed by: Chandra Shekhar Sharma
MaRDI profile type: Publication
full work available at URL: aphy.1997.5720
OpenAlex ID: W2089363511
cites work: Q3269603
cites work: On unitary ray representations of continuous groups
cites work: Galilei Group and Nonrelativistic Quantum Mechanics
DOI: 10.1006/APHY.1997.5720
description: scientific article; zbMATH DE number 1294523