Titre : |
Chaos in classical and quantum mechanics |
Type de document : |
texte imprimé |
Auteurs : |
Martin C. Gutzwiller, Auteur |
Editeur : |
Berlin : Springer-Verlag |
Année de publication : |
1990 |
Collection : |
Interdisciplinary applied mathematics |
Importance : |
XIII-432 p. |
Présentation : |
Relié. Fig., Graph., Tabl. |
Format : |
24 cm |
ISBN/ISSN/EAN : |
978-0-387-97173-5 |
Langues : |
Anglais (eng) |
Catégories : |
(05.40) Fluctuations, processus aleatoires et mouvement Brownien
|
Mots-clés : |
quantum mechanics chaos orbits (astronomy) entropy curvature measurement scattering |
Index. décimale : |
05.40 |
Résumé : |
preface introduction 1. the mechanics of lagrange 2. the mechanics of hamilton and jacobi 3. integrable systems 4. the three-body problem : moon-earth-sun 5. three methods of solution 6. periodic orbits 7. the surface of section 8. models of the galaxy and of small molecules 9. soft chaos and the kam theorem 10. entropy and other measures of chaos 11. the anisotropic kepler problem 12. the transition from classical to quantum mechanics 13. the new world of quantum mechanics 14. the quantization of integrable systems 15. wave functions in classically chaotic systems 16. the energy spectrum of a classically chaotic system 17. the trace formula 18. the diamagnetic kepler problem 19. motion on a surface of constant negative curvature 20. scattering problems, coding and multifractal invariant measures references index |