Semiclassical approach to fidelity amplitude

New Journal of Physics

Volumn 13, Issue , 2011, Pages

  García Mata, Ignacio ^a   Vallejos, Rául O ^b   Wisniacki, Diego A ^c  

^a Facultad de Ciencias Naturales e Instituto M Lillo   (Argentina)

^b CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^c UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EXTERNAL PERTURBATIONS; FIDELITY AMPLITUDE; LYAPUNOV DECAY; QUANTUM CHAOTIC SYSTEMS; RANDOM DYNAMICS; RANDOM PERTURBATIONS; SEMICLASSICAL APPROACHES; SEMICLASSICAL THEORIES;

CHAOTIC SYSTEMS;

EID: 80155188681     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/13/10/103040     Document Type: Article

References (46)

1. Peres A 1984 Phys. Rev. A 30 1610
2. Jalabert R A and Pastawski H M 2001 Phys. Rev. Lett. 86 2490
3. Jacquod Ph, Silvestrov P G and Beenakker C W J 2001 Phys. Rev. E 64 055203
4. Gorin T, Prosen T, Seligman T and Žnidari M 2006 Phys. Rep. 435 33
5. Jacquod Ph and Petitjean C 2009 Adv. Phys. 58 67
6. Prosen T and Žnidarič M 2002 J. Phys. A: Math. Gen. 35 1455
7. Prosen T 2002 Phys. Rev. E 65 036208
8. Wang W, Casati G and Li B 2004 Phys. Rev. E 69 025201
9. Andersen M, Kaplan A, Grünzweig T and Davidson N 2006 Phys. Rev. Lett. 97 104102
10. Pozzo E N and Domínguez D 2007 Phys. Rev. Lett. 98 057006
11. Ares N and Wisniacki D A 2009 Phys. Rev. E 80 046216
12. Casabone B, García-Mata I and Wisniacki D 2010 Europhys. Lett. 89 50009
13. Lobkis O I and Weaver R L 2003 Phys. Rev. Lett. 90 254302
14. Schäfer R, Stöckmann H J, Gorin T and Seligman T H 2005 Phys. Rev. Lett. 95 184102
15. Schäfer R, Gorin T, Seligman T H and Stöckmann H J 2005 New J. Phys. 7 152
16. Gorin T, Seligman T H and Weaver R L 2006 Phys. Rev. E 73 015202
17. Lobkis O I and Weaver R L 2008 Phys. Rev. E 78 066212
18. Köber B, Kuhl U, Stöckmann H J, Gorin T, Savin D V and Seligman T H 2010 Phys. Rev. E 82 036207
19. Vaníček J 2004 Phys. Rev. E 70 055201
20. Vaníček J and Heller E J 2003 Phys. Rev. E 68 056208
21. Vaníček J 2006 Phys. Rev. E 73 046204
22. García-Mata I and Wisniacki D A 2011 J. Phys. A: Math. Theor. 44 315101
23. Miller W H 1970 J. Chem. Phys. 53 3578
24. Miller W H 2001 J. Phys. Chem A 105 2942
25. Wang W, Casati G, Li B and Prosen T 2005 Phys. Rev. E 71 037202
26. Li B, Mollica C and Vaníček J 2009 J. Chem. Phys. 131 041101
27. Zimmermann T and Vaníček J 2010 J. Chem. Phys. 132 241101
28. Zimmermann T, Ruppen J, Li B and Vaníček J 2010 Int. J. Quantum Chem. 110 2426
29. Wehrle M, Šulc M and Vaníček J 2011 CHIMIA Int. J. Chem. 65 334
30. Shi Q and Geva E 2005 J. Chem. Phys. 122 064506
31. Haake F 2010 Quantum Signatures of Chaos (Berlin: Springer)
32. de Matos M B and de Almeida A M O 1995 Ann. Phys. 237 46
33. Gutiérrez M and Goussev A 2009 Phys. Rev. E 79 046211
34. Goussev A, Waltner D, Richter K and Jalabert R A 2008 New J. Phys. 10 093010
35. Dobson J F 1969 J. Math. Phys. 10 40
36. Borzi C, Ord G and Percus J K 1987 J. Stat. Phys. 46 51
37. Reichl L E 1998 A Modern Course in Statistical Physics (New York: Wiley)
38. Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (New York: Springer)
39. Kaplan L and Heller E J 1996 Phys. Rev. Lett. 76 1453
40. Smilansky U and Verdene B 2003 J. Phys. A: Math. Gen. 36 3525
41. Carlo G G, Vallejos R O and Abreu R F 2010 Phys. Rev. E 82 046220
42. Arnold V I and Avez A 1989 Ergodic Problems in Classical Mechanics (Reading, MA: Addison-Wesley)
43. Adler R L 1998 Bull. Am. Math. Soc. 35 1
44. Mehta M L 2004 Random Matrices (Amsterdam: Elsevier)
45. Sano M M 2000 CHAOS 10 195
46. García-Mata I, Vallejos R O and Wisniacki D A In preparation