Quadratic algebras :Three-mode bosonic realizations and applications

Details Quadratic algebras :Three-mode bosonic realizations and applications Quadratic algebras :Three-mode bosonic realizations and applications

2000-10-14

arxiv.org/abs/math-ph/0010017v1

Physics

Mathematical Physics

17 pages, Latex, Submitted to Journal of Mathematical Physics

Scientific paper

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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