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arXiv · 2309.15247

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

Emanonfi Elias N'Dolo
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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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Emanonfi Elias N'Dolo. 2023-09-26. Non-Hermitian two-dimensional harmonic oscillator in noncommutative phase-space. https://arxiv.org/abs/2309.15247

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