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Classical and Quantum Dissipative Systems

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書名

Classical and Quantum Dissipative Systems, 2nd Edition
著者・編者 Razavy, M.
出版社/発行元 World Scientific
発行年/月 2017年4月   
装丁 Hardcover
ページ数/巻数 592 ページ
ISBN 978-981-3207-90-5
発送予定 海外倉庫よりお取り寄せ 2-3週間以内に発送します

 

Desciption

 

Dissipative forces play an important role in problems of classical as well as quantum mechanics. Since these forces are not among the basic forces of nature, it is essential to consider whether they should be treated as phenomenological interactions used in the equations of motion, or they should be derived from other conservative forces. In this book we discuss both approaches in detail starting with the Stoke's law of motion in a viscous fluid and ending with a rather detailed review of the recent attempts to understand the nature of the drag forces originating from the motion of a plane or a sphere in vacuum caused by the variations in the zero-point energy. In the classical formulation, mathematical techniques for construction of Lagrangian and Hamiltonian for the variational formulation of non-conservative systems are discussed at length. Various physical systems of interest including the problem of radiating electron, theory of natural line width, spin-boson problem, scattering and trapping of heavy ions and optical potential models of nuclear reactions are considered and solved.

 

Contents:

 

Phenomenological Equations of Motion for Dissipative Systems
Lagrangian Formulation
Hamiltonian Formulation
Hamilton-Jacobi Formulation
Motion of a Charged Damped Particle in an External Electromagnetic Field
Noether and Non-Noether Symmetries and Conservation Laws
Dissipative Forces Derived from Many-Body Problems
The Equation of Motion for an Oscillator Coupled to a Field
Damped Motion of the Central Particle
Classical Microscopic Models of Dissipation and Minimal Coupling Rule
Quantization of Dissipative Systems
Quantization of Explicitly Time-Dependent Hamiltonians
Coherent State Formulation of Damped Systems
Density Matrix and the Wigner Distribution Function
Path Integral Formulation of a Damped Harmonic Oscillator
Quantization of the Motion of an Infinite Chain
The Heisenberg Equations of Motion for a Particle Coupled
Quantum Mechanical Models of Dissipative Systems
Dissipation Arising from the Motion of the Boundaries
The Optical Potential

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