Geometry from Dynamics, Classical and Quantum

• Main Authors: Cariñena, José F. (Author), Ibort, Alberto (Author), Marmo, Giuseppe (Author), Morandi, Giuseppe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2015.
• Subjects: Physics.; Differential geometry.; Mathematical physics.; Mechanics.; Statistical physics.; Dynamical systems.; Theoretical, Mathematical and Computational Physics.; Mathematical Physics.; Statistical Physics, Dynamical Systems and Complexity.; Differential Geometry.

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...