Coherent states and symmetric spaces. II

M. I. Monastyrsky; A. M. Perelomov

Annales de l'I.H.P. Physique théorique (1975)

  • Volume: 23, Issue: 1, page 23-48
  • ISSN: 0246-0211

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Monastyrsky, M. I., and Perelomov, A. M.. "Coherent states and symmetric spaces. II." Annales de l'I.H.P. Physique théorique 23.1 (1975): 23-48. <http://eudml.org/doc/75860>.

@article{Monastyrsky1975,
author = {Monastyrsky, M. I., Perelomov, A. M.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {1},
pages = {23-48},
publisher = {Gauthier-Villars},
title = {Coherent states and symmetric spaces. II},
url = {http://eudml.org/doc/75860},
volume = {23},
year = {1975},
}

TY - JOUR
AU - Monastyrsky, M. I.
AU - Perelomov, A. M.
TI - Coherent states and symmetric spaces. II
JO - Annales de l'I.H.P. Physique théorique
PY - 1975
PB - Gauthier-Villars
VL - 23
IS - 1
SP - 23
EP - 48
LA - eng
UR - http://eudml.org/doc/75860
ER -

References

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  1. [1] A.M. Perelomov, preprint ITEP, n° 17, 1974 ; Commun. Math. Phys., 1975 (in press). 
  2. [2] A.M. Perelomov, Commun. Math. Phys., t. 26, 1972, p. 222. Zbl0243.22016MR363209
  3. [3] R.J. Glauber, Phys. Rev., t. 130, p. 2529 ; t. 131, 1963, p. 2766. 
  4. [4] J.R. Klauder, E.C.G. Sudarshan, Fundamentals of Quantum Optics, New York, Benjamin, 1968. MR231591
  5. [5] A.M. Perelomov, Phys. Lett., t. A 39, 1972, p. 165, 353 ; Teor. Mat. Fiz., t. 16, 1973, p. 303 ; t. 19, 1974, p. 83. 
  6. [6] E.H. Lieb, Commun. Math. Phys., t. 31, 1973, p. 327. Zbl1125.82305MR349181
  7. [7] J.M. Radcliffe, Jour. Phys., t. A 4, 1971, p. 313. MR332052
  8. [8] F.T. Arecchi, E. Courtens, R. Gilmore, H. Thomas, Phys. Rev., t. A 6, 1972, p. 2211. 
  9. [9] K. Hepp, E.H. Lieb, Phys. Rev., t. A 8, 1973, p. 2517. MR363350
  10. [10] A.M. Perelomov, Teor. Mat. Fiz., t. 6, 1971, p. 213. 
  11. [11] V. Bargmann, P. Butera, L. Girardello, J.R. Klauder, Reps. Math. Phys., t. 2, 1971, p. 221. MR290680
  12. [12] A.M. Perelomov, Funct. Anal. Appl., t. 6, n° 4, 1972, p. 47. 
  13. [13] A.M. Perelomov, Funct. Anal. Appl., t. 7, n° 3, 1973, p. 57. Zbl0295.22021
  14. [14] M.I. Monastyrsky, A.M. Perelomov, Dokl. Akad. Nauk SSSR, t. 207, 1972, p. 1303; Reps. Math. Phys., t. 6, 1974, p. 14. Zbl0294.32019MR354940
  15. [15] A.A. Kirillov, Elementi teorii predstavlenii (in Russian), Moscow, Nauka, 1973. Zbl0264.22011
  16. [16] B. Kostant, Lecture Notes in Math., t. 170, 1970, p. 87. Zbl0223.53028MR294568
  17. [17] F.A. Berezin, Method of second quantization. London, Academic Press, 1966. Zbl0151.44001MR208930
  18. [18] F. Dyson, Commun. Math. Phys., t. 19, 1970, p. 235. Zbl0221.62019MR278668
  19. [19] A.F. Grillo, Revista N. C., t. 3, 1973, p. 146. 
  20. [20] G.W. Mackey, Bull. Amer. Math. Soc., t. 69, 1963, p. 628. Zbl0136.11502MR153784
  21. [21] S. Helgason, Differential geometry and Symmetric Spaces, New York, Academic Press, 1962. Zbl0111.18101MR145455
  22. [22] B. Kostant, Bull. Amer. Math. Soc., t. 75, 1969, p. 627. Zbl0229.22026MR245725
  23. [23] I.M. Gelfand, M.I. Graev, Amer. Math. Soc. Transl., t. 37, 1964, p. 351. Zbl0136.43404
  24. [24] S. Helgason, Adv. in Math., t. 5, n° 1, 1970, p. 1. Zbl0209.25403
  25. [25] I.I. Pyatetskii-Shapiro, Automorphic Functions and the Geometry of Classical Domains, New York, Gordon and Breach, 1969. Zbl0196.09901MR252690
  26. [26] C. Moore, Amer. J. Math., t. 86, 1964, p. 201, 358. Zbl0156.03202
  27. [27] L.K. Hua, Harmonic Analysis in the Classical Domains, Amer. Math. Soc., 1963. 
  28. [28] Harish-Chandra, Amer. J. Math., t. 80, 1958, p. 241. Zbl0093.12801MR94407
  29. [29] H. Furstenberg, Ann. Math., t. 77, 1963, p. 335. Zbl0192.12704MR146298
  30. [30] S.G. Gindikin, F.I. Karpelevič, Sov. Math., t. 3, 1962, p. 962. Zbl0156.03201

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