Quantum Mechanics of Non-Hamiltonian and Dissipative Systems

ISBN: 9780444530912 出版年：2008 页码：555 Tarasov, Vasily Elsevier Science_RM

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