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Cited by 450

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Motion in a Constant Magnetic Field

Johnson, M. H., Lippmann, B. A.·1949·Physical Review
DOI 10.1103/physrev.76.828
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Abstract

The motion of a charged particle in a constant magnetic field is treated in both relativistic and non-relativistic quantum theory. Operators representing the center of the orbit, which obey the commutation law for conjugate variables, are introduced and their connections with energy, angular momentum, and magnetic moment studied. Energy eigenfunctions in an operator form are obtained by factorization. Previously derived eigenfunctions in coordinate space are obtained and are shown to be eigenfunctions for the operators for the center of the orbit as well as for the energy. Corresponding relativistic eigenfunctions are derived by a simple device which enables one to construct solutions of the Dirac equation from solutions of the Schr\"odinger equation.

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Metadata

Authors
Johnson, M. H., & Lippmann, B. A.
Venue
Physical Review
Publisher
American Physical Society (APS)
Published
1949-09-15
Volume
76
Issue
6
Pages
828-832
ISSN
0031-899X (ISSN-L)
DOI
10.1103/physrev.76.828
OpenAlex
W1991387770
Cited by
450
References
5
FWCI
1.64
Type
journal article
Language
en
Open access
closed

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.