Geometry from Dynamics, Classical and Quantum

This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cariñena, José F. (Autor), Ibort, Alberto (Autor), Marmo, Giuseppe (Autor), Morandi, Giuseppe (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Mathematical physics.
System theory.
Geometry, Differential.
Mechanics.
Theoretical, Mathematical and Computational Physics.
Mathematical Physics.
Complex Systems.
Differential Geometry.
Classical Mechanics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Contents
  • Foreword
  • Some examples of linear and nonlinear physical systems and their dynamical equations
  • The language of geometry and dynamical systems: the linearity paradigm
  • The geometrization of dynamical systems
  • Invariant structures for dynamical systems: Poisson and Jacobi dynamics
  • The classical formulations of dynamics of Hamilton and Lagrange
  • The geometry of Hermitean spaces: quantum evolution
  • Folding and unfolding Classical and Quantum systems
  • Integrable and superintegrable systems
  • Lie-Scheffers systems
  • Appendices
  • Bibliography
  • Index.

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