Geometry from Dynamics, Classical and Quantum

AvJosé F. Cariñena,Alberto Ibort

Inbunden, Engelska, 2014

1 473 kr

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Beskrivning

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

Utgivningsdatum:2014-10-08
Mått:155 x 235 x 44 mm
Vikt:1 240 g
Format:Inbunden
Språk:Engelska
Antal sidor:719
Upplaga:2015
Förlag:Springer
ISBN:9789401792196

Utforska kategorier

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

Recensioner i media

"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)

Innehållsförteckning

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.