Classical And Quantum Dissipative Systems.

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, tha...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: World Scientific 2006.
Temas:
Energy dissipation.
Quantum theory.
Mechanics.
Dissipation d'énergie.
Théorie quantique.
Mécanique.
mechanics (physics)
Energy dissipation
Mechanics
Quantum theory
Electronic resource.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Contents
  • Dedication
  • Preface
  • 1 Introduction
  • 2 Phenomenological Equations of Motion for Dissipative Systems
  • 2.1 Frictional Forces Linear Velocity
  • 2.2 Raleigh's Oscillator
  • 2.3 One-Dimensional Motion and Bopp Transformation
  • 2.4 The Classical Theory of Line Width
  • 2.5 Frictional Forces Quadratic in Velocity
  • 2.6 Non-Newtonian and Nonlocal Dissipative Forces
  • 3 Lagrangian Formulations
  • 3.1 Rayleigh and Lur'e Dissipative Functions
  • 3.2 Inverse Problem of Analytical Dynamics
  • 3.3 Some Examples of the Lagrangians for Dissipative Systems
  • 3.4 Non-Uniqueness of the Lagrangian
  • 3.5 Acceptable Lagrangians for Dissipative Systems
  • 4 Hamiltonian Formulation
  • 4.1 Inverse Problem for the Hamiltonian
  • 4.2 Hamiltonians for Simple Dissipative Systems
  • 4.3 Ostrogradsky's Method
  • 4.4 Complex or Leaky Spring Constant.

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