Pseudo-invariants theory and real phases for systems with non-Hermitian time-dependent Hamiltonians

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作者：
Mustapha Maamache
Oum Kaltoum Djeghiour
Naima Mana
Walid Koussa
机构：
[1] Université Ferhat Abbas Sétif 1,Laboratoire de Physique Quantique et Systèmes Dynamiques, Faculté des Sciences
[2] Université de Jijel,Département de Physique
来源：
The European Physical Journal Plus | / 132卷
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摘要：
In this paper, the Lewis-Riesenfeld invariant theory is generalized for the study of systems with non-Hermitian time-dependent Hamiltonians. Explicitly time-dependent pseudo-Hermitian invariants theory, with a time-dependent metric, is developed. We derive a simple relation between the eigenstates of this pseudo-Hermitian invariant and the solutions of the Schrödinger equation. A physical system is treated in detail: the time-dependent Swanson model, where an explicitly time-dependent pseudo-Hermitian invariant is derived as well as their eigenvalues and eigenstates.
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