Heisenberg evolution WKB and symplectic area phases

Journal of Physics A: Mathematical and General

Volumn 35, Issue 25, 2002, Pages 5279-5303

  Osborn, T A ^a   Kondratieva, M F ^b  

^a UNIVERSITY OF MANITOBA   (Canada)

^b UNIVERSITY OF MINNESOTA DULUTH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037189270     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/25/309     Document Type: Article

References (35)

1. Moyal J E 1949 Proc. Camb. Phil. Soc. 45 99-124
2. Wigner E P 1932 Phys. Rev. 40 749-59
3. Weyl H 1927 Z. Phys. 46 1-46
4. Grossmann A 1976 Commun. Math. Phys. 48 191-4
5. Royer A 1977 Phys. Rev. A 15 449-50
6. Grossmann A and Huguenin P 1978 Helv. Phys. Acta 51 252-61
7. Maslov V P and Fedoriuk M V 1981 Semiclassical Approximation in Quantum Mechanics (Dordrecht: Reidel)
8. Antonets M A 1977 Mosc. Univ. Math. Bull. 2 21-7
9. Prosser R T 1983 J. Math. Phys. 24 548-52
10. Robert D 1978 Autour de l'Approximation Semi-Classique (Boston, MA: Birkhäuser)
11. Berezin F A and Shubin M A 1991 The Schrödinger Equation (Dortrecht: Kluwer)
12. Osborn T A and Molzahn F H 1995 Ann. Phys., NY 241 79-127
13. McQuarrie B R, Osborn T A and Tabisz G C 1998 Phys. Rev. A 58 2944-61
14. Heller E J 1976 J. Chem. Phys. 65 1289-98
15. Karasev M V and Nazaikinskii V E 1978 Math. USSR-Sb. 34 737-64
16. Berry M V 1977 Phil. Trans. R. Soc. A 287 237-71
17. Marinov M S 1979 J. Phys. A: Math. Gen. 12 31-47
18. Karasev M V and Maslov V P 1993 Nonlinear Poisson Brackets. Geometry and Quantization (Ser. Translations of Mathematical Monographs vol 119) (Providence: AMS)
19. Littlejohn R 1990 J. Math. Phys. 31 2952-77
20. Amiet J P and Huguenin P 1980 Helv. Phys. Acta 53 377-97
21. Berry M V 1989 Proc. R. Soc. A 42 219-31
22. Ozorio de Almeida A M and Hannay J H 1982 Ann. Phys., NY 139 115-54
23. Ozorio de Almeida A M 1998 Phys. Rep. 295 265-342
24. Weinstein A 1971 Adv. Math. 6 329-46
25. Intissar A 1982 Commun. Part. Diff. Equal. 7 1403-37
26. Poincaré H 1899 Mécanique Céleste vol 3 (Paris: Gauthier-Villars)
27. Berezin F A 1974 Math. USSR-Izv. 8 1109-65
28. Berry M V and Balazs N L 1979 J. Phys. A: Math. Gen. 12 625-42
29. Kondratieva M F and Osborn T A 2002 Proc. Recent Problems in Field Theory 2001-2002 ed A V Aminova pp 236-43
30. de Rios M P P and Ozorio de Almeida A M 2002 J. Phys. A: Math. Gen. 35 2609-17
31. Marinov M S 1991 Phys. Lett. A 153 5-11
32. Amiet J P and Huguenin P 1984 Helv. Phys. Acta 57 35-62
33. Gadella M, Gracia-Bondía J M, Nieto L M and Várilly J C 1989 J. Phys. A: Math. Gen. 22 2709-38
34. Egorov Ju V 1971 Trans. Moscow Math. Soc. 24 1-28
35. Karasev M V and Osborn T A 2002 J. Math. Phys. 43 756-88