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


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

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 10. Superoperators and its Properties 11. Superoperator Algebras and Spaces 12. Superoperator Functions 13. Semi-groups of Superoperators 14. Differential Equations for Quantum Observables 15. Quantum Dynamical Semi-Groups 16. Classical Non-Hamiltonian Dynamics 17. Quantization of Dynamical Structure 18. Quantum Dynamics of States 19. Dynamical Deformation of Algebras of Observables 20. Fractional Quantum Dynamics 21. Stationary States of non-Hamiltoniam Systems 22. Quantum Dynamical Methods 23. Path Integral for non-Hamiltoniam Systems 24. Non-Hamiltonian Systems as a Quantum Computers


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© 2008
Elsevier Science
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About the author

Vasily Tarasov

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