Lecture Notes in Physics

Quantum Dynamical Semigroups and Applications

Authors: Alicki, Robert, Lendi, Karl

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About this Textbook

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.

Table of contents (2 chapters)

Table of contents (2 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • The eBook version of this title will be available soon
  • ISBN 978-3-540-47855-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.99
price for USA in USD
  • ISBN 978-3-662-13621-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Dynamical Semigroups and Applications
Authors
Series Title
Lecture Notes in Physics
Series Volume
286
Copyright
1987
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47855-3
DOI
10.1007/3-540-18276-4
Softcover ISBN
978-3-662-13621-8
Series ISSN
0075-8450
Edition Number
1
Number of Pages
VIII, 198
Number of Illustrations
1 b/w illustrations
Topics