Holomorphic Quantization on the Torus and Finite Quantum Mechanics
| dc.creator | Athanasiu, G. G. | |
| dc.creator | Floratos, E. G. | |
| dc.creator | Nicolis, S. | |
| dc.date | 1995-09-18 | |
| dc.date | 1996-11-10 | |
| dc.date.accessioned | 2026-07-07T10:58:37Z | |
| dc.date.available | 2026-07-07T10:58:37Z | |
| dc.description | We construct explicitly the quantization of classical linear maps of $SL(2, R)$ on toroidal phase space, of arbitrary modulus, using the holomorphic (chiral) version of the metaplectic representation. We show that Finite Quantum Mechanics (FQM) on tori of arbitrary integer discretization, is a consistent restriction of the holomorphic quantization of $SL(2, Z)$ to the subgroup $SL(2, Z)/Γ_l$, $Γ_l$ being the principal congruent subgroup mod l, on a finite dimensional Hilbert space. The generators of the ``rotation group'' mod l, $O_{l}(2)\subset SL(2,l)$, for arbitrary values of l are determined as well as their quantum mechanical eigenvalues and eigenstates. | |
| dc.description | 12 pages LaTeX (needs amssymb.sty). Version as will appear in J. Phys. A | |
| dc.identifier | https://arxiv.org/abs/hep-th/9509098 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9509098 | |
| dc.identifier | J.Phys.A29:6737,1996 | |
| dc.identifier | doi:10.1088/0305-4470/29/21/010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187165 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Holomorphic Quantization on the Torus and Finite Quantum Mechanics | |
| dc.type | text |