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Quantum mechanics of non-Hamiltonian and dissipative systems /

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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 recomm...

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Bibliographic Details
Main Author: Tarasov, Vasily E.
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: Amsterdam ; Oxford : Elsevier, 2008.
Series:Monograph series on nonlinear science and complexity ; v. 7.
Subjects:
Quantum theory.
Functional analysis.
Electronic books.
Online Access:Connect to the full text of this electronic book
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.