Quantum Mechanics of Non-Hamiltonian and Dissipative Systems


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

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


Book information

  • Published: May 2008
  • Imprint: ELSEVIER
  • ISBN: 978-0-444-53091-2

Table of Contents

Part I. Quantum Kinematics1. Quantum Kinematics of Bounded Observables2. Quantum Kinematics of Unbounded Observables3. Mathematical Structures in Quantum Kinematics4. Spaces of Quantum Observables5. Algebras of Quantum Observables6. Mathematical Structures on State Sets7. Mathematical Structures in Classical Kinematics 8. Quantization in Kinematics9. Spectral Representation of Observable Part II. Quantum Dynamics 10. Superoperators and its Properties11. Superoperator Algebras and Spaces12. Superoperator Functions13. Semi-groups of Superoperators14. Differential Equations for Quantum Observables15. Quantum Dynamical Semi-Groups16. Classical Non-Hamiltonian Dynamics17. Quantization of Dynamical Structure 18. Quantum Dynamics of States19. Dynamical Deformation of Algebras of Observables20. Fractional Quantum Dynamics21. Stationary States of non-Hamiltoniam Systems22. Quantum Dynamical Methods23. Path Integral for non-Hamiltoniam Systems24. Non-Hamiltonian Systems as a Quantum Computers