Two-dimensional non-Hermitian harmonic oscillator: coherent states

被引：0
|
作者：
Izadparast, Masoumeh [1 ]
Mazharimousavi, S. Habib [1 ]
机构：
[1] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Phys, Via Mersin 10, Famagusta, North Cyprus, Turkey
来源：
PHYSICA SCRIPTA | 2019年 / 94卷 / 11期
关键词：
coherent states; PT-symmetry; harmonic oscillator; PARITY-TIME SYMMETRY; PSEUDO-HERMITICITY; PT-SYMMETRY; QUANTUM-MECHANICS; HAMILTONIANS; SPECTRUM; PJ;
D O I：
10.1088/1402-4896/ab240b
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this study, we introduce a two-dimensional complex harmonic oscillator potential with space and time reflection symmetries. The corresponding time-independent Schrodinger equation yields real eigenvalues with complex eigenfunctions. We also construct the coherent state of the system by using a superposition of 12 eigenfunctions. Using the complex correspondence principle for the probability density we investigate the possible modifications in the probability densities due to the non-Hermitian aspect of the Hamiltonian.
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页数：9
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