Phys. Rev. A 80, 052103 (2009) [4 pages]Generalized Liouville time-dependent perturbation theoryReceived 11 August 2009; published 5 November 2009 A generalized time-dependent perturbation theory is derived for superoperators. Instead of using the “standard” breakup of the Hamiltonian into a known zeroth order term and a correction, we use the approximate superpropagator to define the correction superoperator which is then used to obtain a series representation of the exact Liouville operator. The theory reduces to known limits and may be used for a perturbation expansion of classical Wigner and Husimi dynamics as well as for recent phase-space-based semiclassical approximations. The theory is demonstrated for a model quartic potential. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.052103
DOI:
10.1103/PhysRevA.80.052103
PACS:
03.65.Sq, 02.30.Mv, 02.30.Tb
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