Time evolution of quantum systems with time-dependent non-Hermitian Hamiltonian and the pseudo Hermitian invariant operator
Quantum Physics
2017-05-24 v1
Abstract
We study the time evolution of quantum systems with a time-dependent non-Hermitian Hamiltonian given by a linear combination of SU(1,1) and SU(2) generators.With a time-dependent metric, the pseudo-Hermitian invariant operator is constructed in the same manner as for both the SU(1,1) and SU(2) systems. The exact common solutions of the Schr\"odinger equations for both the SU(1,1) and SU(2) systems are obtained in terms of eigenstates of the pseudo-Hermitian invariant operator.
Keywords
Cite
@article{arxiv.1705.08298,
title = {Time evolution of quantum systems with time-dependent non-Hermitian Hamiltonian and the pseudo Hermitian invariant operator},
author = {Mustapha Maamache and Oum Kaltoum Djeghiour and Walid Koussa and Naima Mana},
journal= {arXiv preprint arXiv:1705.08298},
year = {2017}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:1705.06341