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

Cited by in corpus (2)

• Time-dependent version of cryptohermitian quantum theory
• Time-dependent quasi-Hermitian Hamiltonians and the unitarity of quantum evolution