Coherent States for Kronecker Products of Non-Compact Groups: Formulation and Applications
| dc.creator | Bambah, Bindu A. | |
| dc.creator | Agarwal, G. S. | |
| dc.date | 1996-04-23 | |
| dc.date.accessioned | 2026-07-07T06:13:49Z | |
| dc.date.available | 2026-07-07T06:13:49Z | |
| dc.description | We introduce and study the properties of a class of coherent states for the group SU(1,1) X SU(1,1) and derive explicit expressions for these using the Clebsch-Gordan algebra for the SU(1,1) group. We restrict ourselves to the discrete series representations of SU(1,1). These are the generalization of the `Barut Girardello' coherent states to the Kronecker Product of two non-compact groups.The resolution of the identity and the analytic phase space representation of these states is presented. This phase space representation is based on the basis of products of `pair coherent states' rather than the standard number state canonical basis. We discuss the utility of the resulting `bi-pair coherent states' in the context of four-mode interactions in quantum optics. | |
| dc.description | 7 pages, 2 figures (can be obtained from author by snail mail) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9604025 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9604025 | |
| dc.identifier | Invited talk published in "Proc. of the fourth int. conf. on Squeezed States and Uncertainty Relations", NASA Conf. Pub.3322.(1995) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93238 | |
| dc.subject | Quantum Physics | |
| dc.title | Coherent States for Kronecker Products of Non-Compact Groups: Formulation and Applications | |
| dc.type | text |