| Autor: |
Nadjat Amaouche, Maroua Sekhri, Rahma Zerimeche, Mustapha Maamache, J.-Q. Liang |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Physics Open, Vol 13, Iss , Pp 100126- (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2666-0326 |
| DOI: |
10.1016/j.physo.2022.100126 |
| Popis: |
In this paper we investigate time-dependent non-Hermitian Hamiltonians, which consist of SU(1,1) and SU(2) generators. The former Hamiltonian is PT symmetric but the latter one is not. A time-dependent non-unitary operator is proposed to construct the non-Hermitian invariant, which is verified as pseudo-Hermitian with real eigenvalues. The exact solutions are obtained in terms of the eigenstates of the pseudo-Hermitian invariant operator for both the SU(1,1) and SU(2) systems in a unified manner. Then, we derive the Lewis–Riesenfeld (LR) phase, which can be separated into the dynamic and the geometrical phases. The analytical results are well consistent with those of the corresponding Hermitian Hamiltonians reported in the literature. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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