Quantum Brachistochrone problem and the geometry of the state space in pseudo-Hermitian quantum mechanics.

Abstract

A non-Hermitian operator with a real spectrum and a complete set of eigenvectors may serve as the Hamiltonian operator for a unitary quantum system provided that one makes an appropriate choice for the defining the inner product of physical Hilbert state. We study the consequences of such a choice for the representation of states in terms of projection… (More)

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Cite this paper

@article{Mostafazadeh2007QuantumBP, title={Quantum Brachistochrone problem and the geometry of the state space in pseudo-Hermitian quantum mechanics.}, author={Ali Mostafazadeh}, journal={Physical review letters}, year={2007}, volume={99 13}, pages={130502} }