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.
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页数：12
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