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arXiv · 1705.06341

Quantum Evolution of the Time-Dependent Non-Hermitian Hamiltonians: Real Phases

Mustapha Maamache·Oum Kaltoum Djeghiour·Naima Mana·Walid Koussa
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Abstract

Explicitly time-dependent pseudo-Hermitian (TDPH) invariants theory systems, with a time-dependent (TD) metric, is developed for a time-dependent non Hermitian (TDNH) quantum systems. We derive a simple relation between the eigenstates of this pseudo-Hermitien (PH) invariant and the solutions of the Schrodinger equation. A physical system is treated in detail: the TD Swanson model, where an explicitly TDPH invariant is derived for this system, the eigenvalues and eigenstates of the invariant are calculated explicitly.

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Mustapha Maamache, Oum Kaltoum Djeghiour, Naima Mana, Walid Koussa. 2017-05-17. Quantum Evolution of the Time-Dependent Non-Hermitian Hamiltonians: Real Phases. https://arxiv.org/abs/1705.06341

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