New Deformation of quantum oscillator algebra: Representation and some application

2012/10/26 by Sama Arjika, Dine Ousmane Samary, Arjika, Sama +5
Physics and Astronomy · #F.2.2 #FOS: Physical sciences #I.2.7 #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1210.7259

openalex publication_date 2012/10/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This work addresses the study of the oscillator algebra, defined by four parameters p, q, α, and ν. The time-independent Schrödinger equation for the induced deformed harmonic oscillator is solved; explicit analytic expressions of the energy spectrum are given. Deformed states are built and discussed with respect to the criteria of coherent state construction. Various commutators involving annihilation and creation operators and their combinatorics are computed and analyzed. Finally, the correlation functions of matrix elements of main normal and antinormal forms, pertinent for quantum optics analysis, are computed.

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