On the invariant method for the time-dependent non-Hermitian Hamiltonians

被引：43
|
作者：
Khantoul, B. [1 ]
Bounames, A. [1 ]
Maamache, M. [2 ]
机构：
[1] Univ Jijel, Dept Phys, Theoret Phys Lab, BP 98 Ouled Aissa, Jijel 18000, Algeria
[2] Univ Ferhat Abbas Setif 1, Fac Sci, Lab Phys Quant & Syst Dynam, Setif 19000, Algeria
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 06期
关键词：
PSEUDO-HERMITICITY; PT-SYMMETRY; HARMONIC-OSCILLATOR; QUANTUM-MECHANICS; SPECTRUM;
D O I：
10.1140/epjp/i2017-11524-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a scheme to deal with certain time-dependent non-Hermitian Hamiltonian operators H(t) that generate a real phase in their time evolution. This involves the use of invariant operators IPH(t) that are pseudo-Hermitian with respect to the time-dependent metric operator, which implies that the dynamics is governed by unitary time evolution. Furthermore, H(t) is generally not quasi-Hermitian and does not define an observable of the system but IPH(t) obeys a quasi-Hermiticity transformation as in the completely time-independent Hamiltonian systems case. The harmonic oscillator with a time-dependent frequency under the action of a complex time-dependent linear potential is considered as an illustrative example.
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页数：7
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