Geometry from Dynamics, Classical and Quantum

Inbunden, Engelska, 2014

AvJosé F. Cariñena,Alberto Ibort,Giuseppe Marmo,Giuseppe Morandi,Jose F. Carinena

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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.

Produktinformation

Utgivningsdatum2014-10-08
Mått155 x 235 x 44 mm
Vikt1 240 g
FormatInbunden
SpråkEngelska
Antal sidor719
Upplaga2015
FörlagSpringer
ISBN9789401792196

Tillhör följande kategorier

Matematisk fysik inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik
Klassisk mekanik inom Naturvetenskap och teknik

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.

"It is offered for a comprehensive exposition of the use of geometrical tools in the study of both classical and quantum systems. It would be very useful to a motivated student or a researcher wishing to adopt the geometrical framework in his/her work. Each chapter contains an extensive bibliography, old and current, doing justice to the various possible directions of study." (Demetris P. K. Ghikas, Mathematical Reviews, October, 2015)