On the canonically invariant calculation of Maslov indices

Journal of Physics A: Mathematical and General

Volumn 36, Issue 36, 2003, Pages 9449-9469

  Pletyukhov, M ^a   Brack, M ^a  

^a UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142260891     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/36/303     Document Type: Review

References (49)

1. Gutzwiller M C 1971 J. Math. Phys. 12 343 and earlier papers quoted therein
2. Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (New York: Springer) Cvitanovic P (ed) 1992 Chaos Focus Issue on Periodic Orbit Theory Chaos vol 2 no 1 (New York: AIP) Berggren K-F and Åberg S (eds) 2001 Quantum Chaos Y2K (Proc. Nobel Symposium vol 116) Phys. Scr. vol T90
3. Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (New York: Springer) Cvitanovic P (ed) 1992 Chaos Focus Issue on Periodic Orbit Theory Chaos vol 2 no 1 (New York: AIP) Berggren K-F and Åberg S (eds) 2001 Quantum Chaos Y2K (Proc. Nobel Symposium vol 116) Phys. Scr. vol T90
4. Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (New York: Springer) Cvitanovic P (ed) 1992 Chaos Focus Issue on Periodic Orbit Theory Chaos vol 2 no 1 (New York: AIP) Berggren K-F and Åberg S (eds) 2001 Quantum Chaos Y2K (Proc. Nobel Symposium vol 116) Phys. Scr. vol T90
5. Balian R and Bloch C 1972 Ann. Phys., NY 69 76
6. Berry M V and Tabor M 1976 Proc. R. Soc. A 349 101 Berry M V and Tabor M 1977 Proc. R. Soc. A 356 375
7. Berry M V and Tabor M 1976 Proc. R. Soc. A 349 101 Berry M V and Tabor M 1977 Proc. R. Soc. A 356 375
8. Strutinsky V M and Magner A G 1976 Sov. J. Part. Nucl. 7 138
9. Creagh S C and Littlejohn R G 1991 Phys. Rev. A 44 836 Creagh S C and Littlejohn R G 1992 J. Phys. A: Math. Gen. 25 1643
10. Creagh S C and Littlejohn R G 1991 Phys. Rev. A 44 836 Creagh S C and Littlejohn R G 1992 J. Phys. A: Math. Gen. 25 1643
11. Bolte J and Keppeler S 1999 Ann. Phys., NY 274 125
12. Pletyukhov M and Zaitsev O 2003 J. Phys. A: Math. Gen. 36 5181
13. Littlejohn R G and Robbins J M 1987 Phys. Rev. A 36 2953
14. Friedrich H and Wintgen D 1989 Phys. Rep. 183 39 Eckhardt B and Wintgen D 1991 J. Phys. A: Math. Gen. 24 4335
15. Friedrich H and Wintgen D 1989 Phys. Rep. 183 39 Eckhardt B and Wintgen D 1991 J. Phys. A: Math. Gen. 24 4335
16. Creagh S C, Robbins J M and Littlejohn R G 1990 Phys. Rev. A 42 1907
17. Brack M and Bhaduri R K 2003 Semiclassical Physics (Frontiers in Physics vol 96) (Boulder, CO: Westview)
18. Sugita A 2000 Phys. Lett. A 266 321 Sugita A 2001 Ann. Phys., NY 288 277
19. Sugita A 2000 Phys. Lett. A 266 321 Sugita A 2001 Ann. Phys., NY 288 277
20. Muratore-Ginanneschi P 2003 Phys. Rep. at press Muratore-Ginanneschi P 2002 LANL Preprint nlin.CD/0210047
21. Muratore-Ginanneschi P 2003 Phys. Rep. at press Muratore-Ginanneschi P 2002 LANL Preprint nlin.CD/0210047
22. Long Y 2000 Adv. Math. 154 76
23. Robbins J M 1991 Nonlinearity 4 343 Robbins J M 1992 Chaos 2 145
24. Robbins J M 1991 Nonlinearity 4 343 Robbins J M 1992 Chaos 2 145
25. Keller J B and Rubinow S I 1960 Ann. Phys., NY 9 24
26. Maslov V P and Fedoriuk M V 1981 Semi-Classical Approximations in Quantum Mechanics (Boston, MA: Reidel)
27. Arnold V I 1990 Mathematical Methods of Classical Mechanics (New York: Springer)
28. Ozorio de Almeida A M and Hannay J N 1987 J. Phys. A: Math. Gen. 20 5873
29. Schomerus H and Sieber M 1997 J. Phys. A: Math. Gen. 30 4537 and earlier references quoted therein
30. Tomsovic S, Grinberg M and Ullmo D 1995 Phys. Rev. Lett. 75 4346
31. Brack M, Meier P and Tanaka K 1999 J. Phys. A: Math. Gen. 32 331
32. Gel'fand I M and Lidski V B 1958 AMS Translations Series 2 vol 8 p 143 Gel'fand I M and Lidski V B 1960 Usp. Math. Nauk 10 3
33. Gel'fand I M and Lidski V B 1958 AMS Translations Series 2 vol 8 p 143 Gel'fand I M and Lidski V B 1960 Usp. Math. Nauk 10 3
34. Conley C and Zehnder E 1984 Commun. Pure Appl. Math. 37 207
35. Krein M G 1950 Dokl. Akad. Nauk SSSR (N.S.) 73 445
36. Littlejohn R G 1986 Phys. Rep. 138 193
37. Brack M and Jain S R 1995 Phys. Rev. A 51 3462
38. Creagh S C 1996 Ann. Phys., NY 248 60
39. Brack M, Creagh S C and Law J 1998 Phys. Rev. A 57 788
40. Brack M, Bhaduri R K, Law J, Murthy M V N and Maier Ch 1995 Chaos 5 317
41. Dahlqvist P and Russberg G 1990 Phys. Rev. Lett. 65 2837
42. Yoshida H 1984 Celest. Mech. 32 73
43. Brack M, Mehta M and Tanaka K 2001 J. Phys. A: Math. Gen. 34 8199
44. Brack M, Fedotkin S N, Magner A G and Mehta M 2003 J. Phys. A: Math. Gen. 36 1095
45. Lakhshminarayan A, Santhanam M S and Sheorey V B 1996 Phys. Rev. Lett. 76 396
46. Hénon M and Heiles C 1964 Astron. J. 69 73
47. Brack M 2001 Festschrift in Honor of the 75th birthday of Martin Gutzwiller ed A Inomata et al Found. Phys. 31 209 (Preprint nlin.CD/0006034)
48. Graham R and Höhnerbach M 1984 Z. Phys. B 57 233
49. Amann Ch and Brack M 1992 J. Phys. A: Math. Gen. 35 6009