Quantum mechanics and nilpotent groups. I: The curved magnetic field
type: Item
instance of: scholarly article
title: Quantum mechanics and nilpotent groups. I: The curved magnetic field
zbMATH Open document ID: 0601.58027
author: W. H. Klink
author: Palle Jorgensen
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1985-01-01T00:00:00Z
review text: The authors consider quantum mechanical systems whose Hamiltonians are quadratic in generators of a nilpotent Lie algebra. The physical examples of such systems involve massive spinless particles in external magnetic fields (constant and linear in space variables). Using the group representation method the spectrum of such systems is found. The explicit time dependence of the system is also found using the representation structure of nilpotent groups. The approach developed in this article is very close to the coherent states method.
reviewed by: M. I. Monastyrsky
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 22E27
zbMATH DE Number: 3969707
zbMATH Keywords: quantum mechanical systems
zbMATH Keywords: Hamiltonians
zbMATH Keywords: nilpotent Lie algebra
zbMATH Keywords: massive spinless particles
zbMATH Keywords: group representation method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195178792
OpenAlex ID: W2089576440
cites work: Q5331410
cites work: Q3913911
cites work: Q5565773
cites work: Nilpotent Lie groups: Structure and applications to analysis
cites work: Q3249645
cites work: Q4111791
cites work: Q5531038
cites work: Q3872705
DOI: 10.2977/PRIMS/1195178792
description: scientific article; zbMATH DE number 3969707