Quantum Mechanics of Non-Hamiltonian and Dissipative Systems - 1st Edition - ISBN: 9780444530912, 9780080559711

Quantum Mechanics of Non-Hamiltonian and Dissipative Systems, Volume 7

1st Edition

Authors: Vasily Tarasov
eBook ISBN: 9780080559711
Hardcover ISBN: 9780444530912
Imprint: Elsevier Science
Published Date: 8th May 2008
Page Count: 530
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Table of Contents

Part I. Quantum Kinematics

  1. Quantum Kinematics of Bounded Observables
  2. Quantum Kinematics of Unbounded Observables
  3. Mathematical Structures in Quantum Kinematics
  4. Spaces of Quantum Observables
  5. Algebras of Quantum Observables
  6. Mathematical Structures on State Sets
  7. Mathematical Structures in Classical Kinematics
  8. Quantization in Kinematics
  9. Spectral Representation of Observable

Part II. Quantum Dynamics

  1. Superoperators and its Properties
  2. Superoperator Algebras and Spaces
  3. Superoperator Functions
  4. Semi-groups of Superoperators
  5. Differential Equations for Quantum Observables
  6. Quantum Dynamical Semi-Groups
  7. Classical Non-Hamiltonian Dynamics
  8. Quantization of Dynamical Structure
  9. Quantum Dynamics of States
  10. Dynamical Deformation of Algebras of Observables
  11. Fractional Quantum Dynamics
  12. Stationary States of non-Hamiltoniam Systems
  13. Quantum Dynamical Methods
  14. Path Integral for non-Hamiltoniam Systems
  15. Non-Hamiltonian Systems as a Quantum Computers

Description

Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is self-contained and can be used by students without a previous course in modern mathematics and physics. The book describes the modern structure of the theory, and covers the fundamental results of last 15 years. The book has been recommended by Russian Ministry of Education as the textbook for graduate students and has been used for graduate student lectures from 1998 to 2006.

Key Features

• Requires no preliminary knowledge of graduate and advanced mathematics • Discusses the fundamental results of last 15 years in this theory • Suitable for courses for undergraduate students as well as graduate students and specialists in physics mathematics and other sciences

Readership

Libraries and professors as well as upper-level undergraduates and graduate students in physics


Details

No. of pages:
530
Language:
English
Copyright:
© Elsevier Science 2008
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080559711
Hardcover ISBN:
9780444530912

About the Authors

Vasily Tarasov Author

Vasily E. Tarasov was born in 1965. He received his M. S. in Physics from the Moscow State University in 1988. V. Tarasov received Ph.D. in Theoretical Physics from the Moscow State University in 1995. He was a Research Associate at the Skobeltsyn Institute of Nuclear Physics, Moscow State University for six years (1995-2001) and then became a Senior Research Associate at the Skobeltsyn Institute of Nuclear Physics, Moscow State University. Vasily E. Tarasov is an Associate Professor at the Applied Mathematics and Physics Department of Moscow Aviation Institute since 1998. He has published about 90 scientific works, among which 3 books and about 65 papers in refereed journals.

Affiliations and Expertise

Skobeltsyn Institute of Nuclear Physics, Moscow State University and Applied Mathematics and Physics Department, Moscow Aviation Institute, Russia