Handbook of integrable hamiltonian systems
Handbook of integrable hamiltonian systems
- Fecha de lanzamiento: 15/06/2015
- Año de edición: 2015
- ISBN: 9785396006874
- Encuadernación: Tapa blanda
- Idioma: CASTELLANO
- Editorial: URSS
- Nº de páginas: 248
Handbook of machine vision (edición en inglés)
This book provides a comprehensive exposition of completely integrable, partially integrable and superintegrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. In particular, this is the case of non-autonomous integrable Hamiltonian systems and integrable systems with time-dependent parameters. The fundamental Liouville---Minuer---Arnold, Poincar'e---Lyapunov---Nekhoroshev, and Mishchenko---Fomenko theorems and their generalizations are presented in details. Global action-angle coordinate systems, including the Kepler one, are analyzed. Geometric quantization of integrable Hamiltonian systems with respect to action-angle variables is developed, and classical and quantum Berry phase phenomenon in completely integrable systems is described. This book addresses to a wide audience of theoreticians and mathematicians of undergraduate, post-graduate and researcher levels. It aims to be a guide to advanced geometric methods in classical and quantum Hamiltonian mechanics. For the convenience of the reader, a number of relevant mathematical topics are compiled in Appendixes.
Libros recomendados si te gusta Handbook of integrable hamiltonian systems
