Can I read Geometry from Dynamics, Classical and Quantum on EtoBox?

Geometry from Dynamics, Classical and Quantum by José F. Cariñena, Alberto Ibort, Giuseppe Marmo, Giuseppe Morandi (auth.) is a nonfiction available to read on EtoBox.

What is Geometry from Dynamics, Classical and Quantum about?

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 just its dynamical behavior that is described by using a family of variables ("observables" of the system). The book departs from the principle that ''dynamics is first'' and then tries to answer in what sense the sole dynamics determines the geometrical structures that have proved so useful to describe the dynamics in so many important instances. In this vein it is shown that most of the geometrical structures that are used in the standard presentations of classical dynamics (Jacobi, Poisson, symplectic, Hamiltonian, Lagrangian) are determined, though in general not uniquely, by the dynamics alone. The same program is accomplished for the geometrical structures relevant to 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 super integrability, are deeply related

Who reads Geometry from Dynamics, Classical and Quantum?

Author

José F. Cariñena, Alberto Ibort, Giuseppe Marmo, Giuseppe Morandi (auth.)

Publisher

Springer Netherlands : Imprint : Springer

Published

2015

Language

EN

ISBN

9789401792196

Category

nonfiction

Subjects

Science, Mathematics, Physics