Complex Spectral Representation of the Liouvillian and Kinetic Theory in Nonequilibrium Physics

DOI10.1143/PTP.123.395zbMath1195.82060MaRDI QIDQ3566526

Tomio Petrosky

Publication date: 8 June 2010

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

eigenvalue problemdensity matrixpolaron modelcomplex spectral representationLiouville-von Neumann operator

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22)

Related Items (6)

Physical Aspect of Exceptional Point in the Liouvillian Dynamics for a Quantum Lorentz Gas ⋮ Spontaneous Breakdown of a PT-Symmetry in the Liouvillian Dynamics at a Non-Hermitian Degeneracy Point ⋮ Cavity‐Photon‐Induced High‐Order Transitions between Ground States of Quantum Dots ⋮ Efficient determination of the Markovian time-evolution towards a steady-state of a complex open quantum system ⋮ Irreversibility and the breaking of resonance-antiresonance symmetry ⋮ Microscopic description of irreversibility in quantum Lorentz gas by complex spectral analysis of the Liouvillian outside the Hilbert space

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