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Which operator generates time evolution in Quantum Mechanics?

2007/11/05 by Miloslav Znojil, Znojil, Miloslav
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.0711.0535

openalex publication_date 2007/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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