Open AccessOn the pseudo hermiticity and q-deformation
Author(s) -
Hafida Moulla,
N. Mebarki,
Ilhem Leghrib
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1766/1/012025
Subject(s) - harmonic oscillator , eigenvalues and eigenvectors , hamiltonian (control theory) , hermitian matrix , mathematical physics , perturbation (astronomy) , physics , perturbation theory (quantum mechanics) , quantum mechanics , mathematics , classical mechanics , mathematical optimization
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.