On Faithful Matrix Representations of q-Deformed Models in Quantum Optics

Consider the q-deformed Lie algebra, tq:K^1,K^2q=1−qK^1K^2,K^3,K^1q=sK^3, K^1,K^4q=sK^4,K^3,K^2q=tK^3,K^2,K^4q=tK^4, and K^4,K^3q=rK^1, where r,s,t∈ℝ−0, subject to the physical properties: K^1 and K^2 are real diagonal operators, and K^3=K^4†, († is for Hermitian conjugation). The q-deformed Lie alg...

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Bibliographic Details
Main Authors: Latif A -M. Hanna, Abdullah Alazemi, Anwar Al-Dhafeeri
Format: Article
Language:English
Published: Hindawi Limited 2022-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2022/6737287