Quantum Dynamical Semigroups and Applications

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 application...

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Bibliographic Details
Main Authors: Alicki, Robert, Lendi, Karl (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1987, 1987
Edition:1st ed. 1987
Series:Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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100 1 |a Alicki, Robert 
245 0 0 |a Quantum Dynamical Semigroups and Applications  |h Elektronische Ressource  |c by Robert Alicki, Karl Lendi 
250 |a 1st ed. 1987 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1987, 1987 
300 |a VIII, 198 p. 1 illus  |b online resource 
505 0 |a 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 
653 |a Quantum Physics 
653 |a Physical chemistry 
653 |a Spintronics 
653 |a Physical Chemistry 
653 |a Quantum physics 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
653 |a Mathematical Methods in Physics 
700 1 |a Lendi, Karl  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Lecture Notes in Physics 
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856 4 0 |u https://doi.org/10.1007/3-540-18276-4?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 530.15 
520 |a 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