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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 |
| Issue Date: | Jun-1992 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 157 |
| Start Page: | 2 |
| End Page: | 11 |
| 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 Schrodinger representation of the canonical commutation relations. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68903 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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