Classical and dissipative quantum systems
 Author/Creator
 Razavy, Mohsen.
 Language
 English.
 Imprint
 London : Imperial College Press, c2005.
 Physical description
 xv, 334 p. : ill. ; 26 cm.
Access
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Phenomenological Equations of Motion for Dissipative Systems Lagrangian Hamiltonian and HamiltonJacobi Formulation of the Classical Dissipative Systems Noether's Theorem and NonNoether Conservation Laws Dissipative Forces Derived from ManyBody Problems A Particle Coupled to a Field and the Damped Motion of a Central Particle Coupled to a Heat Bath Quantization of Dissipative Systems in General and of Explicitly TimeDependent Hamiltonians in Particular Density Matrix and the Wigner Distribution Function for Damped Systems Path Integral Formulation of a Damped Harmonic Oscillator Quantization of the Motion of an Infinite Chain Heisenberg's Equations of Motion for a Particle Coupled to a Heat Bath Quantum Mechanical Models of Dissipative Systems and the Concept of Optical Potential.
 (source: Nielsen Book Data)
 Publisher's Summary
 This book discusses issues associated with the quantum mechanical formulation of dissipative systems. It begins with an introductory review of phenomenological damping forces, and the construction of the Lagrangian and Hamiltonian for the damped motion. It is shown, in addition to these methods, that classical dissipative forces can also be derived from solvable manybody problems. A detailed discussion of these derived forces and their dependence on dynamical variables is also presented. The second part of this book investigates the use of classical formulation in the quantization of dynamical systems under the influence of dissipative forces. The results show that, while a satisfactory solution to the problem cannot be found, different formulations represent different approximations to the complete solution of two interacting systems. The third and final part of the book focuses on the problem of dissipation in interacting quantum mechanical systems, as well as the connection of some of these models to their classical counterparts. A number of important applications, such as the theory of heavyion scattering and the motion of a radiating electron, are also discussed.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2005
 Responsibility
 Mohsen Razavy.
 ISBN
 1860945252
 1860945309
 9781860945250
 9781860945304