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

Abstract

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 ${\eta }_{+}={\eta }_{+}(t)$.

10 pp

References in corpus (2)

• On the Role of the Normalization Factors ${\kappa }_n$ and of the Pseudo-Metric $\mathcal{P}\ne {\mathcal{P}}^{†}$ in Crypto-Hermitian Quantum Models
• Which operator generates time evolution in Quantum Mechanics?

Cited by in corpus (5)

• Time-dependent version of cryptohermitian quantum theory
• Comment on ``Time-dependent quasi-Hermitian Hamiltonians and the unitary quantum evolution''
• Reply to Comment on ``Time-dependent quasi-Hermitian Hamiltonians and the unitary quantum evolution''
• Exact solutions for time-dependent complex symmetric potential well
• Comment on "Reply to Comment on Time-dependent Quasi-Hermitian Hamiltonians and the Unitary Quantum Evolution"