An SU(2) Analog of the Azbel--Hofstadter Hamiltonian
| dc.creator | Floratos, E. G. | |
| dc.creator | Nicolis, S. | |
| dc.date | 1995-08-22 | |
| dc.date | 1998-02-23 | |
| dc.date.accessioned | 2026-07-07T10:58:36Z | |
| dc.date.available | 2026-07-07T10:58:36Z | |
| dc.description | Motivated by recent findings due to Wiegmann and Zabrodin, Faddeev and Kashaev concerning the appearence of the quantum U_q(sl(2)) symmetry in the problem of a Bloch electron on a two-dimensional magnetic lattice, we introduce a modification of the tight binding Azbel--Hofstadter Hamiltonian that is a specific spin-S Euler top and can be considered as its ``classical'' analog. The eigenvalue problem for the proposed model, in the coherent state representation, is described by the S-gap Lamé equation and, thus, is completely solvable. We observe a striking similarity between the shapes of the spectra of the two models for various values of the spin S. | |
| dc.description | 19 pages, LaTeX, 4 PostScript figures. Relation between Cartan and Cartesian deformation of SU(2) and numerical results added. Final version as will appear in J. Phys. A: Math. Gen | |
| dc.identifier | https://arxiv.org/abs/hep-th/9508111 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9508111 | |
| dc.identifier | J.Phys.A31:3961-3975,1998 | |
| dc.identifier | doi:10.1088/0305-4470/31/17/007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187160 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Condensed Matter | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | An SU(2) Analog of the Azbel--Hofstadter Hamiltonian | |
| dc.type | text |