Non-Hermitian two-dimensional harmonic oscillator in noncommutative phase-space

2023/09/26 by N'Dolo, Emanonfi Elias
#FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2309.15247

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.

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