Time-dependent quasi-Hermitian Hamiltonians and the unitarity of quantum evolution

Details Time-dependent quasi-Hermitian Hamiltonians and the unitarity of quantum evolution Time-dependent quasi-Hermitian Hamiltonians and the unitarity of quantum evolution

2007-10-30

arxiv.org/abs/0710.5653v1

Physics

Quantum Physics

10 pp

Scientific paper

We show that the consequences of an introduction of a manifest
time-dependence in a pseudo-Hermitian Hamiltonian H=H(t) are by far less
drastic than suggested by A. Mostafazadeh in Phys. Lett. B 650 (2007) 208
(arXiv:0706.1872v2 [quant-ph]). In particular, the unitarity of the evolution
does not necessitate the time-independence of the metric $\eta_+=\eta_+(t)$.

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