Unstable States in the Continuous Spectra. Analysis, Concepts, Methods and Results

0348434 - ÚFCH JH 2011 RIV US eng M - Monography Chapter
Paidarová, Ivana - Durand, P.
Unstable States: From Quantum Mechanics to Statistical Physics.
Unstable States in the Continuous Spectra. Analysis, Concepts, Methods and Results. 1. New York: Academic Press, 2010 - (Cleanthes, N.), s. 1-49. Advances in Quantum Chemistry, Vol. 60. ISBN 978-0-12-380900-1
R&D Projects: GA AV ČR IAA401870702
Institutional research plan: CEZ:AV0Z40400503
Keywords : quantum mechanics * statistical physics * collisions
Subject RIV: CF - Physical ; Theoretical Chemistry

Influenced by the ideas of Jaynes and Prigogine from the mid-1950s, we present a unified formulation of dynamics and thermodynamics of irreversible processes. Our approach originates in the quantum theory of resonances described by effective Hamiltonians. The concept of effective Hamiltonian is extended to the concept of effective Liouvillian that deals with macroscopic observables and brings insight into the dissipative nonequilibrium thermodynamics. The time-energy/frequency Fourier–Laplace transformation and the use of projectors focus on the variables of interest. The line profiles and dynamics in quantum mechanics are treated on the same footing. The long macroscopic times in statistical physics are derived from short microscopic times by means of hierarchies of effective Liouvillians and perturbation theory in the complex plane.
Permanent Link: http://hdl.handle.net/11104/0188974