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Geometry from Dynamics, Classical and Quantum

The same program is accomplished for the geometrical structures relevantto describe quantum dynamics. Finally, it is shown that further properties that allow the explicit description of the dynamics of certain dynamical systems, like integrability and superintegrability, are deeply related to the pr...

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Bibliographic Details
Main Authors: Cariñena, José F., Ibort, Alberto (Author), Marmo, Giuseppe (Author), Morandi, Giuseppe (Author)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2015, 2015
Edition:1st ed. 2015
Subjects:
Complex Systems
Geometry, Differential
Classical Mechanics
Mathematical Physics
System Theory
Differential Geometry
Mechanics
Theoretical, Mathematical And Computational Physics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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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