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arXiv · 1707.06392

Non-Unitary evolution of quantum time-dependent non-Hermitian systems

Mustapha Maamache
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Abstract

We provide a new perspective on non-Hermitian evolution in quantum mechanics by emphasizing the same method as in the Hermitian quantum evolution. We first give a precise description of the non unitary evolution, and collecting the basic results around it and postulating the norm preserving. This cautionary postulate imposing that the time evolution of a non Hermitian quantum system preserves the inner products between the associated states must not be read naively. We also give an example showing that the solutions of time-dependent non Hermitian Hamiltonian systems given by a linear combination of SU(1,1) and SU(2) are obtained thanks to time-dependent non-unitary transformation.

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Mustapha Maamache. 2017-07-20. Non-Unitary evolution of quantum time-dependent non-Hermitian systems. https://arxiv.org/abs/1707.06392

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