Universal integrals of motion and universal invariants of quantum systems

Journal of Physics A: Mathematical and General

Volumn 33, Issue 43, 2000, Pages 7721-7738

  Dodonov, V V ^a,b  

^a FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

^b MOSCOW INSTITUTE OF PHYSICS AND TECHNOLOGY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034601945     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/43/305     Document Type: Article

References (81)

1. Lewis H R Jr and Riesenfeld W B 1969 J. Math. Phys. 10 1458
2. Malkin I A, Man'ko V I and Trifonov D A 1969 Phys. Lett. A 30 414
3. Malkin I A, Man'ko V I and Trifonov D A 1970 Phys. Rev. D 2 1371
4. Dodonov V V, Malkin I A and Man'ko V I 1972 Physica 59 241
5. Dodonov V V and Man'ko V I 1979 Phys. Rev. A 20 550
6. Dodonov V V, Kurmyshev E V and Man'ko V I 1980 Phys. Lett. A 79 150
7. Dodonov V V, Malkin I A and Man'ko V I 1975 J. Phys. A: Math. Gen. 8 L19
8. Dodonov V V, Malkin I A and Man'ko V I 1975 Int. J. Theor. Phys. 14 37
9. Dodonov V V, Malkin I A and Man'ko V I 1974 Physica 72 597
10. Courant E D and Snyder H D 1958 Ann. Phys., NY 3 1
11. Lewis H R Jr 1967 Phys. Rev. Lett. 18 510
12. Camiz P, Gerardi A, Marchioro C, Presutti E and Scacciatelli E 1971 J. Math. Phys. 12 2040
13. Berry M V 1984 Proc. R. Soc. A 392 45
14. Morales D A 1988 J. Phys. A: Math. Gen. 21 L889
15. Dodonov V V and Man'ko V I 1989 Topological phases in quantum theory Proc. Int. Seminar (Dubna, 1988) ed B Markovski and S I Vinitsky (Singapore: World Scientific) p 74
16. Mizrahi S S 1989 Phys. Lett. A 138 465
17. Leach P G L 1990 J. Phys. A: Math. Gen. 23 2695
18. Dodonov V V, Malkin I A and Man'ko V I 1976 Physica A 82 113
19. Dodonov V V and Man'ko V I 1989 Invariants and the evolution of nonstationary quantum systems Proc. Lebedev Physics Institute vol 183 (Commack: Nova Science)
20. Gantmacher F 1970 Lectures in Analytical Mechanics (Moscow: Mir)
21. Arnold V I 1978 Mathematical Methods of Classical Mechanics (New York: Springer)
22. Dodonov V V and Man'ko V I 1983 Group theoretical methods in physics Proc. 2nd Int. Seminar (Zvenigorod, 24-6 November 1982) vol 2, ed M A Markov, V I Man'ko and A E Shabad (Moscow: Nauka) p 11 (in Russian)
23. Dodonov V V and Man'ko V I 1985 Group theoretical methods in physics Proc. 2nd Int. Seminar (Zvenigorod, 24-6 November 1982) vol 1, ed M A Markov, V I Man'ko and A E Shabad (Geneva: Harwood) p 591
24. Dodonov V V and Man'ko O V 1986 Group theoretical methods in physics Proc. 3rd Seminar (Yurmala, 1985) vol 2, ed V V Dodonov, M A Markov and V I Man'ko (Utrecht: VNU Science) p 523
25. Dodonov V V and Man'ko V I 1987 Group theory, gravitation and elementary particle physics Proc. Lebedev Physics Institute vol 167, ed A A Komar (Commack: Nova Science) p 7
26. Holm D D, Lysenko W P and Scovel J C 1990 J. Math. Phys. 31 1610
27. Neri F and Rangarajan G 1990 Phys. Rev. Lett. 64 1073
28. Dragt A J, Neri F and Rangarajan G 1992 Phys. Rev. A 45 2572
29. Bastiaans M J 1991 Optik 88 163
30. Kauderer M 1991 Appl. Opt. 30 1025
31. Serna J, Mart́nez-Herrero R and Mejías P M 1991 J. Opt. Soc. Am. A 8 1094
32. Belanger P A 1991 Opt. Lett. 16 196
33. Onciul D 1993 J. Opt. Soc. Am. A 10 295
34. Lin Q, Wang S, Alda J and Bernabeu E 1993 Opt. Lett. 18 669
35. Nemes G and Siegman A E 1994 J. Opt. Soc. Am. A 11 2257
36. Dragoman D 1994 J. Opt. Soc. Am. A 11 2643
37. Martínez-Herrero R and Mejías P M 1997 Opt. Commun. 140 57
38. Yang J and Fan D 1999 J. Opt. Soc. Am. A 16 2488
39. Gantmakher F R 1966 The Theory of Matrices (Moscow: Nauka)
40. Hernández E S and Remaud B 1980 Phys. Lett. A 75 269
41. Turner R E and Snider R F 1981 Can. J. Phys. 59 457
42. Dodonov V V, Man'ko V I and Rudenko V N 1980 Sov. J. Quantum Electron 10 1232
43. Tatarskii V I 1983 Sov. Phys.-Usp. 26 311
44. Hillery M, O'Connell R F, Scully M O and Wigner E P 1984 Phys. Rep. 106 121
45. Littlejohn R G 1986 Phys. Rep. 138 193
46. Dodonov V V, Man'ko O V and Man'ko V I 1994 Phys. Rev. A 50 813
47. Dodonov V V, Man'ko O V and Man'ko V I 1994 Phys. Rev. A 49 2993
48. Snygg J 1980 Am. J. Phys. 48 964
49. Takabayasi T 1954 Prog. Theor. Phys. 11 341
50. Robertson H P 1934 Phys. Rev. 46 794
51. Dodonov V V, Man'ko O V and Man'ko V I 1995 J. Russian Laser Res. 16 1
52. Dattoli G, Mari C, Richetta M and Torre A 1992 Nuovo Cimento B 107 269
53. Schrödinger E 1930 Ber. Kgl. Akad. Wiss. Berlin 24 296
54. Robertson H P 1930 Phys. Rev. 35 667
55. Remaud B and Hernandez E S 1980 Physica A 103 35
56. Groenewold H J 1946 Physica 12 405
57. Akhundova E A, Dodonov V V and Man'ko V I 1985 Theor. Math. Phys. 60 907
58. Dodonov V V and Man'ko V I 1986 Physica A 137 306
59. Dodonov V V and Man'ko V I 1978 Physica A 94 403
60. Chountasis S and Vourdas A 1998 Phys. Rev. A 58 1794
61. Barut A O and Raçzka R 1986 Theory of Group Representations and Applications (Singapore: World Scientific)
62. Dodonov V V, Man'ko V I and Zhivotchenko D V 1993 Nuovo Cimento B 108 1349
63. Leontovich M A 1944 Izv. Akad. Nauk SSSR 8 16
64. Arnaud J A 1976 Beam and Fiber Optics (New York: Academic)
65. Simon R, Sudarshan E C G and Mukunda N 1984 Phys. Rev. A 29 3273
66. Simon R, Sudarshan E C G and Mukunda N 1985 Phys. Rev. A 31 2419
67. Collett E and Wolf E 1980 Opt. Commun. 32 27
68. Siegman A E 1991 IEEE J. Quantum Electron 27 1146
69. Atakishiyev N M, Chumakov S M, Rivera A L and Wolf K B 1996 Phys. Lett. A 215 128
70. Dodonov V V and Man'ko O V 1987 Computing Optics. Fundamentals ed E P Velikhov and A M Prokhorov (Moscow: International Center of Scientifical and Technical Information) p 84
71. Cao Q and Deng X M 1997 Opt. Commun. 142 135
72. Fedele R and Miele G 1991 Nuovo Cimento D 13 1527
73. Dattoli G, Giannessi L, Mari C, Richetta M and Torre A 1992 Opt. Commun. 87 175
74. Fedele R and Man'ko V I 1998 Phys. Rev. E 58 992
75. Fedele R, Man'ko M A and Man'ko V I 2000 J. Russian Laser Res. 21 1
76. Bagrov V G, Buchbinder I L and Gitman D M 1976 J. Phys. A: Math. Gen. 9 1955
77. Cahill K E and Glauber R J 1969 Phys. Rev. 177 1882
78. Papoulis A 1974 J. Opt. Soc. Am. 64 779
79. Chountasis S and Vourdas A 1999 J. Phys. A: Math. Gen. 32 6949
80. Dodonov V V and Man'ko O V 1985 Physica A 130 353
81. Rytov S M, Kravtsov Yu A and Tatarskii V I 1978 Introduction to Statistical Radiophysics (Moscow: Nauka)