Non-stationary non-Hermitian "wrong-sign quantum oscillators and their meaningful physical interpretation

DOI10.3390/E25040692arXiv2304.07103MaRDI QIDQ6433091

Miloslav Znojil

Publication date: 14 April 2023

Abstract: Quantum mechanics of closed, unitary quantum systems can be formulated in non-Hermitian interaction picture (NIP) in which both the states and the observables vary with time. Then, in general, not only the Schr"{o}dinger-equation generators $G(t)$ but also the Heisenberg-equation generators $Sigma(t)$ are phenomenologically irrelevant, with spectra which are, in general, complex. Only the sum $H(t)=G(t)+Sigma(t)$ retains the standard physical meaning of instantaneous energy. For illustration, the ``wrong-sign quartic oscillators are recalled and reconsidered.

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