|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910463922103321 |
|
|
Autore |
Giachetta G |
|
|
Titolo |
Geometric formulation of classical and quantum mechanics [[electronic resource] /] / Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Singapore ; ; Hackensack, N.J. ; ; London, : World Scientific, c2011 |
|
|
|
|
|
|
|
ISBN |
|
1-283-14476-X |
9786613144768 |
981-4313-73-4 |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (400 p.) |
|
|
|
|
|
|
Altri autori (Persone) |
|
MagiaradzeL. G |
SardanashviliG. A (Gennadiì† Aleksandrovich) |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Statistical mechanics |
Quantum theory - Mathematics |
Geometry, Differential |
Mathematical physics |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Preface; Contents; Introduction; 1. Dynamic equations; 2. Lagrangian mechanics; 3. Hamiltonian mechanics; 4. Algebraic quantization; 5. Geometric quantization; 6. Constraint Hamiltonian systems; 7. Integrable Hamiltonian systems; 8. Jacobi fields; 9. Mechanics with time-dependent parameters; 10. Relativistic mechanics; 11. Appendices; Bibliography; Index |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations. This formulation of mechanics as like as that of classical field theory lies in the framework of general theory of dynamic systems, and Lagrangian and Hamiltonian formalisms on fiber bundles. The reader will find a strict mathematical exposition of non-a |
|
|
|
|
|
|
|