|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Canonical commutation relations, the Weierstrass Zetafunction, and infinite dimensional Hilbert space representations of the quantum group Uq (sl2)
| Title: | Canonical commutation relations, the Weierstrass Zetafunction, and infinite dimensional Hilbert space representations of the quantum group Uq (sl2) |
| Authors: | Arai, A. Browse this author |
| Issue Date: | 1-Nov-1995 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 315 |
| Start Page: | 2 |
| End Page: | 22 |
| Abstract: | A two-dimensional quantum system of a charged particle interacting with a vector potential determined by the Weierstrass Zeta-function is considered. The position and the physical momentum operators give a representation of the canonical commutation relations (CCR) with two degrees of freedom. If the charge of the particle is not an integer (the case corresponding to the Aharonov-Bohm effect), then the representation is inequivalent to the Schrodinger representation. It is shown that the inequivalent representation induces infinite dimensional Hilbert space representations of the quantum group Uq(.s[2 ). Some properties of these representations of Uq(s[2 ) are investigated. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69066 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|
