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A class of Hilbert space representations of the quantum plane and the quantum algebra Uq(sl2)
| Title: | A class of Hilbert space representations of the quantum plane and the quantum algebra Uq(sl2) |
| Other Titles: | A class of Hilbert space representations of the quantum plane and the quantum algebra $U_q(sl_2)$ |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | quantum plane | | quantum algebra | | singular magnetic field |
| Issue Date: | Apr-2008 |
| Publisher: | Elsevier |
| Journal Title: | Reports on Mathematical Physics |
| Volume: | 61 |
| Issue: | 2 |
| Start Page: | 171 |
| End Page: | 180 |
| Publisher DOI: | 10.1016/S0034-4877(08)00013-X |
| Abstract: | A class of representations on the Hilbert space $L^2(\mathbb{R}^d) (d≥2)$ of the quantum plane $\mathbb{C}^2_q$ and the quantum algebra $U_q(sl_2)$ is presented. The boundedness and the unboundedness of the representations are discussed. A physically interesting example of the representations is shown to appear in a two-dimensional quantum system with a magnetic field concentrated on an infinite lattice. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/38249 |
| 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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