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Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations
| Title: | Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | quantization | | magnetic flux | | commutation relations | | linear momentum operators | | gauge invariance |
| Issue Date: | Oct-1992 |
| Publisher: | American Institute of Physics |
| Journal Title: | Journal of Mathematical Physics |
| Volume: | 33 |
| Issue: | 10 |
| Start Page: | 3374 |
| End Page: | 3378 |
| Publisher DOI: | 10.1063/1.529938 |
| Abstract: | Commutation properties of two-dimensional momentum operators with gauge potentials are investigated. A notion of local quantization of magnetic flux is introduced to characterize physically the strong commutativity of the momentum operators. In terms of the notion, a necessary and sufficient condition is given for the position and the momentum operators to be equivalent to the Schrödinger representation of the canonical commutation relations. |
| Rights: | Copyright © 1992 American Institute of Physics |
| Relation: | http://www.aip.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/13677 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 新井 朝雄
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