On the pseudo hermiticity and q-deformation

On the pseudo hermiticity and q-deformation

The non hermiticity of the Hamiltonian is shown to be generated from the q-deformation of the algebra. As an example the q-deformed harmonic oscillator is investigated within the leading order approximation in the pseudo Hermitian perturbation theory. A generalized form of the metric is constructed....

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Veröffentlicht in:Journal of physics. Conference series 2021-01, Vol.1766 (1), p.12025
Hauptverfasser: Moulla, H, Mebarki, N, Leghrib, I
Format: Artikel
Sprache:eng
Schlagworte:
Deformation
Eigenvectors
Harmonic oscillators
Perturbation theory
Physics
Quantum statistics
Statistical mechanics
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Beschreibung
Zusammenfassung:The non hermiticity of the Hamiltonian is shown to be generated from the q-deformation of the algebra. As an example the q-deformed harmonic oscillator is investigated within the leading order approximation in the pseudo Hermitian perturbation theory. A generalized form of the metric is constructed. The spectrum as well as eigenstates of the system are derived explicitly.. Some applications and illustrations in q-deformed quantum statistical mechanics are also discussed.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1766/1/012025