A consistent perturbation-theory framework for non-Hermitian (PT-symmetric, pseudo-Hermitian) quantum systems, organized as a five-Hilbert-space scheme that reduces to the standard three-space picture with a reconstructed metric.
Conservation of pseudo-norm in PT symmetric quantum mechanics
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abstract
An extension of the Stone's theorem to PT symmetric, extended quantum mechanics must employ its pseudo-norm. We show that the evolution of the wave functions is then pseudo-unitary, and emphasize that their pseudo-norm remains time-independent even in the spontaneously broken symmetry regime where the energies themselves cease to be real.
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quant-ph 1years
2019 1verdicts
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Theory of response to perturbations in non-Hermitian systems using five-Hilbert-space reformulation of unitary quantum mechanics
A consistent perturbation-theory framework for non-Hermitian (PT-symmetric, pseudo-Hermitian) quantum systems, organized as a five-Hilbert-space scheme that reduces to the standard three-space picture with a reconstructed metric.