On the Quantum Cat and Sawtooth Maps- Return to Generic Behaviour
| dc.creator | Lakshminarayan, A. | |
| dc.creator | Balazs, N. L. | |
| dc.date | 1993-07-12 | |
| dc.date.accessioned | 2026-07-07T09:07:38Z | |
| dc.date.available | 2026-07-07T09:07:38Z | |
| dc.description | The quantization of the continous cat maps on the torus has led to rather pathological quantum objects [6]. The non-generic behaviour of this model has led some to conclude that the Correspondence Principle fails in this case [2]. In this note we introduce the quantum sawtooth models, since this is the natural family to which the cat maps belong. Thus, a simple propagator depending on a parameter is constructed which for integer values of the parameter becomes pathological quantum cat maps, while away from integer values we find a return to the generic behaviour of non-integrable quantum systems. | |
| dc.description | 10 pages LaTex. 6 figures not included. Please send for PostScript files to first author at the e-mail address | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9307005 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9307005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150442 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | On the Quantum Cat and Sawtooth Maps- Return to Generic Behaviour | |
| dc.type | text |