Non-Hermitian two-dimensional harmonic oscillator in noncommutative phase-space
Quantum Physics
2023-09-28 v1 Mathematical Physics
math.MP
Abstract
In this paper, we extend the result of [Andreas Fring et al J. Phys. A 43, 345401 (2010)] in noncommutative phase-space (NCPS). We compute the non-Hermitian Hamiltonian of a harmonic oscillator in NCPS. We construct a new P T-symmetry in noncommutative phase-space and prove that the system does not possess a broken P T-regime. We then compute the eigenvalue spectrum of the non-Hermitian Hamiltonian of the system.
Keywords
Cite
@article{arxiv.2309.15247,
title = {Non-Hermitian two-dimensional harmonic oscillator in noncommutative phase-space},
author = {Emanonfi Elias N'Dolo},
journal= {arXiv preprint arXiv:2309.15247},
year = {2023}
}