Solution of two-mode bosonic Hamiltonians and related physical systems
| dc.creator | Koc, Ramazan | |
| dc.creator | Tutunculer, Hayriye | |
| dc.creator | Koca, Mehmet | |
| dc.date | 2005-04-24 | |
| dc.date.accessioned | 2026-07-07T04:32:04Z | |
| dc.date.available | 2026-07-07T04:32:04Z | |
| dc.description | We have constructed the quasi-exactly-solvable two-mode bosonic realizations of su(2) and su(1, 1) algebra. We derive the relations leading to the conditions for quasi-exact solvability of two-boson Hamiltonians by determining a general procedure which maps the Schwinger representations of the su(2) and su(1, 1) algebras to the Gelfand-Dyson representations, respectively. This mapping allows us to study nonlinear quantum-optical systems in the framework of quasi-exact solvability. Our approach also leads to a simple construction of special functions of two variables which are the most appropriate functions to study quasi-probabilities in quantum optics. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0504072 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0504072 | |
| dc.identifier | NUOVO CIMENTO Vol. 119 B, N. 10 (2004) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58052 | |
| dc.subject | Mathematical Physics | |
| dc.title | Solution of two-mode bosonic Hamiltonians and related physical systems | |
| dc.type | text |