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Multi-dimensional q-deformed bosonic Newton oscillators and the related q-calculus, q-coherent states, and Hermite q-polynomials

Authors
Chung, Won SangAlgin, Abdullah
Issue Date
1-Mar-2021
Publisher
AMER INST PHYSICS
Citation
JOURNAL OF MATHEMATICAL PHYSICS, v.62, no.3
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF MATHEMATICAL PHYSICS
Volume
62
Number
3
URI
https://scholarworks.bwise.kr/gnu/handle/sw.gnu/3977
DOI
10.1063/5.0005014
ISSN
0022-2488
Abstract
The multi-dimensional q-deformed bosonic Newton oscillator algebra with SU(d)-symmetry is considered. In this framework, we first introduce some new properties concerning the q-deformed calculus related to the algebra, and we then discuss possible consequences of applying these deformed oscillators in some quantum optical issues such as in the construction of coherent states and their effects on the photon statistics. Second, we investigate the role of q-deformation on both the energy levels and the wave functions of the bosonic Newton oscillators by constructing the q-deformed Hermite polynomials. The results obtained in this work might have some implications for studies on quantum information based technologies such as in photonic quantum computing.
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자연과학대학 (물리학과)
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