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

被引：0

作者：

N'Dolo, Emanonf Elias ^{[1
]}

机构：

[1] Univ Abomey Calavi, Int Chair Math Phys & Applicat ICMPA UNESCO Chair, 072BP 50, Cotonou, Benin

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2024年 / 21卷 / 04期

关键词：

Noncommutative phase-space; non-Hermitian operator; PT-symmetry; QUANTUM-MECHANICS; SYMMETRY; SCALE;

D O I：

10.1142/S0219887824500853

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we extend the result of [A. Fring et al. J. Phys. A 43 (2010) 345-401] in Noncommutative phase-space (NCPS). We compute the non-Hermitian Hamiltonian of a harmonic oscillator in NCPS. We construct a new PT-symmetry in NCPS and prove that the system does not possess a broken PT-regime. We then compute the eigenvalue spectrum of the non-Hermitian Hamiltonian of the system.

引用

页数：12

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