Quantum mechanics of non-Hamiltonian and dissipative systems
By: Vasily E. Tarasov
Edition: 1st ed.
Series: Monograph series on nonlinear science and complexity -- v. 7
Publisher: Elsevier; Elsevier Science
Published: 2008
Place of publication: Amsterdam; London
Language: eng
Number of pages: 539
ISBN-13: 9780444530912
Subjects: Quantum theory; Functional analysis
Description: This work is self-contained and can be used by students without a previous course in modern mathematics and physics. It describes the modern structure of the theory and covers the fundamental results of the last 15 years.
Notes: Includes bibliographical references and index.
Table of contents: title: Very Few Preliminaries; title: Pt. I. Quantum Kinematics; title: Ch. 1. Quantum Kinematics of Bounded Observables; title: Ch. 2. Quantum Kinematics of Unbounded Observables; title: Ch. 3. Mathematical Structures in Quantum Kinematics; title: Ch. 4. Spaces of Quantum Observables; title: Ch. 5. Algebras of Quantum Observables; title: Ch. 6. Mathematical Structures on State Sets; title: Ch. 7. Mathematical Structures in Classical Kinematics; title: Ch. 8. Quantization in Kinematics; title: Ch. 9. Spectral Representation of Observable; title: Pt. II. Quantum Dynamics; title: Ch. 10. Superoperators and its Properties; title: Ch. 11. Superoperator Algebras and Spaces; title: Ch. 12. Superoperator Functions; title: Ch. 13. Semi-Groups of Superoperators; title: Ch. 14. Differential Equations for Quantum Observables; title: Ch. 15. Quantum Dynamical Semi-Group; title: Ch. 16. Classical Non-Hamiltonian Dynamics; title: Ch. 17. Quantization of Dynamical Structure; title: Ch. 18. Quantum Dynamics of States; title: Ch. 19. Dynamical Deformation of Algebras of Observables; title: Ch. 20. Fractional Quantum Dynamics; title: Ch. 21. Stationary States of Non-Hamiltonian Systems; title: Ch. 22. Quantum Dynamical Methods; title: Ch. 23. Path Integral for Non-Hamiltonian Systems; title: Ch. 24. Non-Hamiltonian Systems as Quantum Computers.