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Quadratic algebras :Three-mode bosonic realizations and applications

V. SunilKumar·B. A. Bambah·R. Jagannathan
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Abstract

Quadratic algebras of the type $\lsb Q_0, Q_\pm \rsb$ $=$ $\pm Q_\pm$, $\lsb Q_+, Q_- \rsb$ $=$ $aQ_0^2 + bQ_0 + c$ are studied using three-mode bosonic realizations. Matrix representations and single variable differential operator realizations are obtained. Examples of physical relevance of such algebras are given.

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V. SunilKumar, B. A. Bambah, R. Jagannathan. 2000-10-14. Quadratic algebras :Three-mode bosonic realizations and applications. https://arxiv.org/abs/math-ph/0010017

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