Non-stationary non-Hermitian "wrong-sign'' quantum oscillators and their meaningful physical interpretation
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\"odinger-equation generators G(t) but also the Heisenberg-equation generators (t) are phenomenologically irrelevant, with spectra which are, in general, complex. Only the sum H(t)=G(t)+(t) retains the standard physical meaning of instantaneous energy. For illustration, the ``wrong-sign'' quartic oscillators are recalled and reconsidered.
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