Author : Robert Alicki
Release : 2014-04-17
Genre : Science
Kind : eBook
Book Rating : 218/5 ( reviews)

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Book Synopsis Quantum Dynamical Semigroups and Applications by : Robert Alicki

Download or read book Quantum Dynamical Semigroups and Applications written by Robert Alicki. This book was released on 2014-04-17. Available in PDF, EPUB and Kindle. Book excerpt: In this text the authors develop quantum dynamics of open systems for a wide class of irreversible processes starting from the concept of completely positive semigroups. This unified approach makes the material easily accessible to non-specialists and provides an easy access to practical applications. Written for graduate students, the book presents a wealth of useful examples; in particular, models of unstable and N-level systems are treated systematically and in considerable detail including new types of generated Bloch-equations. The general theory is extensively summarized from abstract dynamical maps to those obtained by a reduction of Hamiltonian dynamics under a Markovian approximation. Various methods of determining semigroup generators and the corresponding master equations are discussed including time-dependent and nonlinear generators. Further topics treated are a generalized H-theorem, quantum detailed balance and return to equilibrium, discrete quantum Boltzmann equation, nonlinear Schrödinger equation, spin relaxation by spin waves, entropy production and its generalization by a measure of irreversibiblity.