Solution of two-mode bosonic Hamiltonians and related physical systems

R. Koç, H. Tütüncüler, M. Koca

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1 Citation (Scopus)

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 languageEnglish
Pages (from-to)909-920
Number of pages12
JournalII Nuovo Cimento B Series 11
Volume119
Issue number10
DOIs
Publication statusPublished - Oct 2004

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algebra
quantum optics
bosons

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Solution of two-mode bosonic Hamiltonians and related physical systems. / Koç, R.; Tütüncüler, H.; Koca, M.

In: II Nuovo Cimento B Series 11, Vol. 119, No. 10, 10.2004, p. 909-920.

Research output: Contribution to journalArticle

Koç, R. ; Tütüncüler, H. ; Koca, M. / Solution of two-mode bosonic Hamiltonians and related physical systems. In: II Nuovo Cimento B Series 11. 2004 ; Vol. 119, No. 10. pp. 909-920.
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