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- catalog abstract "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.".
- catalog contributor b1919989.
- catalog contributor b1919990.
- catalog created "c1987.".
- catalog date "1987".
- catalog date "c1987.".
- catalog dateCopyrighted "c1987.".
- catalog description "Contents: General Theory and Applications to Unstable Particles: General Theory: Introduction. Completely positive dynamical semigroups. Hamiltonian models and Markovian approximation. Extensions of the formalism. A system of N 2-level atoms -- Quantum Dynamical Semigroups for Unstable Particles: Introduction. Damped and Pumped Quantum Harmonic Oscillator. Models of unstable particles -- Appendices -- References -- N-Level Systems and Applications to Spectroscopy: Introduction. General structure of quantum Markovian master equations for N-level systems. Two-level systems: Generalized magnetic or optical Bloch-equations. Three-level systems. Comparison with common versions of master equations. Open quantum systems with non-constant relaxation in time-dependent external fields. Determination of relaxation parameters from first principles. Entropy and irreversibility. Conclusion -- Appendices -- References.".
- catalog description "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.".
- catalog description "Includes bibliographies.".
- catalog extent "viii, 196 p. ;".
- catalog hasFormat "Quantum dynamical semigroups and applications.".
- catalog identifier "0387182764 (U.S.)".
- catalog identifier "3540182764 (Berlin)".
- catalog isFormatOf "Quantum dynamical semigroups and applications.".
- catalog isPartOf "Lecture notes in physics ; 286".
- catalog issued "1987".
- catalog issued "c1987.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Quantum dynamical semigroups and applications.".
- catalog subject "530.1/2 19".
- catalog subject "Chemistry, Physical organic.".
- catalog subject "Irreversible processes.".
- catalog subject "Mathematical physics.".
- catalog subject "Physics.".
- catalog subject "QC318.I7 A45 1987".
- catalog subject "Quantum computing.".
- catalog subject "Quantum theory.".
- catalog tableOfContents "Contents: General Theory and Applications to Unstable Particles: General Theory: Introduction. Completely positive dynamical semigroups. Hamiltonian models and Markovian approximation. Extensions of the formalism. A system of N 2-level atoms -- Quantum Dynamical Semigroups for Unstable Particles: Introduction. Damped and Pumped Quantum Harmonic Oscillator. Models of unstable particles -- Appendices -- References -- N-Level Systems and Applications to Spectroscopy: Introduction. General structure of quantum Markovian master equations for N-level systems. Two-level systems: Generalized magnetic or optical Bloch-equations. Three-level systems. Comparison with common versions of master equations. Open quantum systems with non-constant relaxation in time-dependent external fields. Determination of relaxation parameters from first principles. Entropy and irreversibility. Conclusion -- Appendices -- References.".
- catalog title "Quantum dynamical semigroups and applications / R. Alicki, K. Lendi.".
- catalog type "text".