Abstract
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.
Original language | English |
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Pages (from-to) | 909-920 |
Number of pages | 12 |
Journal | Nuovo Cimento della Societa Italiana di Fisica B |
Volume | 119 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 2004 |
Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)