Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

This book explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transition, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide a welcome overview of the curr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pettini, Marco (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Interdisciplinary Applied Mathematics, 33
Temas:
Dynamical systems.
Mathematical physics.
Quantum physics.
Mathematics.
System theory.
Dynamical Systems.
Mathematical Methods in Physics.
Quantum Physics.
Applications of Mathematics.
Complex Systems.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Background in Physics
  • Geometrization of Hamiltonian Dynamics
  • Integrability
  • Geometry and Chaos
  • Geometry of Chaos and Phase Transitions
  • Topological Hypothesis on the Origin
  • Geometry, Topology and Thermodynamics
  • Phase Transitions and Topology: Necessity Theorems
  • Phase Transitions and Topology: Exact Results
  • Future Developments.

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