Which operator generates time evolution in Quantum Mechanics?

Abstract

We attract attention to an interesting family of quantum systems where the generator $H_{(gen)}$ of time-evolution of wave functions is not equal to the Hamiltonian $H$. We describe the origin of the difference $H_{(gen)}-H$ and interpret it as a carrier of a compressed information about the other relevant observables.

7 pp

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• Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretation
• Time-dependent quasi-Hermitian Hamiltonians and the unitarity of quantum evolution