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Quantum Dynamical Semigroups and Applications (1987)

Quantum Dynamical Semigroups and Applications

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"Quantum Dynamical Semigroups and Applications" by Robert Alicki, Karl Lendi is a mathematics book and learning resource focused on Thermal Effects. Best for teachers, students, and readers looking for stronger mathematical understanding.

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.

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Best For: Graduate students and researchers in physics and related fields
Focus: Quantum dynamics of open systems using completely positive semigroups
Covers: Irreversible processes, models of unstable and N-level quantum systems
Why It Matters: Provides a unified approach to quantum dynamical semigroups that facilitates understanding and practical applications in quantum theory and thermodynamics

"Quantum Dynamical Semigroups and Applications" by Robert Alicki, Karl Lendi is a mathematics book and learning resource focused on Thermal Effects. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Thermal Effects

Author: Robert Alicki, Karl Lendi

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorRobert Alicki, Karl Lendi
PublisherSpringer
Published2014-04-17
ISBN-139783662136218
BindingPaperback
Pages198
LanguageEnglish
SubjectsScience
TopicThermal Effects
SeriesLecture Notes in Physics

Format: Paperback

Length: 198 pages

Language: English

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