Quantum Mechanics on a Torus
| dc.creator | Rubin, Ron | |
| dc.creator | Lesniewski, Andrew | |
| dc.date | 1998-07-20 | |
| dc.date.accessioned | 2026-07-07T06:15:27Z | |
| dc.date.available | 2026-07-07T06:15:27Z | |
| dc.description | We present here a canonical description for quantizing classical maps on a torus. We prove theorems analagous to classical theorems on mixing and ergodicity in terms of a quantum Koopman space $ L^2 (A_\hbar},τ_\hbar) $ obtained as the completion of the algebra of observables $ A_\hbar $ in the norm induced by the following inner product $(A,B) =τ_{\hbar}(A^{\dagger}B) $, where $τ_{\hbar}$ is a linear functional on the algebra analogous to the classical ``integral over phase space.'' We also derive explicit formulas connecting this formulation to the $θ$-torus decomposition of Bargmann space introduced in ref. \QCITE{cite}{}{KLMR}. | |
| dc.description | 27 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9807056 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9807056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93762 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum Mechanics on a Torus | |
| dc.type | text |