Quadratic algebras :Three-mode bosonic realizations and applications

2000/10/14 by V. Sunilkumar, V. SunilKumar, Bindu A. Bambah +5
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Numerical methods for differential equations #Photonic and Optical Devices #Quantum Physics (quant-ph) #math-ph #math.MP #nlin.SI #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/0010017

17 pages, Latex, Submitted to Journal of Mathematical Physics

arxiv created 2000/10/14 · openalex publication_date 2000/10/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Quadratic algebras of the type \lsb Q₀, Q_± \rsb = ± Q_±, \lsb Q₊, Q_- \rsb = aQ₀² + bQ₀ + 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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