On faithful matrix representations of \(q\)-deformed models in quantum optics

DOI10.1155/2022/6737287OpenAlexW4296462702MaRDI QIDQ2693265

Anwar A. Aldhafeeri, L. A.-M. Hanna, Abdullah Al-Azemi

Publication date: 20 March 2023

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/6737287

Mathematics Subject Classification ID

Groups and algebras in quantum theory (81Rxx) Lie algebras and Lie superalgebras (17Bxx) Applications of quantum theory to specific physical systems (81Vxx)

Cites Work

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• A comparative study on \(q\)-deformed fermion oscillators
• Applications of the Lie algebraic formulas of Baker, Campbell, Hausdorff and Zassenhaus to the calculation of explicit solutions of partial differential equations
• On representations of Lie algebras for quantized Hamiltonians
• On the classification of the Lie algebras \(L_r^s\).
• On representations of Lie algebras of a generalized Tavis-Cummings model
• An algebraic approach to solving evolution problems in some nonlinear quantum models
• The most general solution for the wave equation of the transformed Tavis-Cummings model
• Lie algebraic methods and solutions of linear partial differential equations
• G-invariant polynomial extensions of Lie algebras in quantum many-body physics
• Periodic Squeezing in the Tavis-Cummings Model
• INTERPOLATING STATISTICS AND q-DEFORMED OSCILLATOR ALGEBRAS
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
• q‐Deformed Quantum Mechanics Based on the q‐Addition

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