Correspondence Rules for SU (1,1) Quasidistribution Functions and Quantum Dynamics in the Hyperbolic Phase Space.

Miguel BaltazarIván F Valtierra Andrei B Klimov

Published in: Entropy (Basel, Switzerland) (2022)

We derive the explicit differential form for the action of the generators of the SU(1,1) group on the corresponding s -parametrized symbols. This allows us to obtain evolution equations for the phase-space functions on the upper sheet of the two-sheet hyperboloid and analyze their semiclassical limits. Dynamics of quantum systems with SU(1,1) symmetry governed by compact and non-compact Hamiltonians are discussed in both quantum and semiclassical regimes.

Keyphrases

molecular dynamics
energy transfer
monte carlo