De Sitter to Poincaré contraction and relativistic coherent states
Annales de l'I.H.P. Physique théorique, Tome 52 (1990) no. 1, pp. 83-111. 
@article{AIHPA_1990__52_1_83_0,
     author = {Ali, S. Twareque and Antoine, J.-P. and Gazeau, J.-P.},
     title = {De {Sitter} to {Poincar\'e} contraction and relativistic coherent states},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {83--111},
     publisher = {Gauthier-Villars},
     volume = {52},
     number = {1},
     year = {1990},
     mrnumber = {1046086},
     zbl = {0706.22018},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1990__52_1_83_0/}
}
TY  - JOUR
AU  - Ali, S. Twareque
AU  - Antoine, J.-P.
AU  - Gazeau, J.-P.
TI  - De Sitter to Poincaré contraction and relativistic coherent states
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1990
SP  - 83
EP  - 111
VL  - 52
IS  - 1
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1990__52_1_83_0/
LA  - en
ID  - AIHPA_1990__52_1_83_0
ER  - 
%0 Journal Article
%A Ali, S. Twareque
%A Antoine, J.-P.
%A Gazeau, J.-P.
%T De Sitter to Poincaré contraction and relativistic coherent states
%J Annales de l'I.H.P. Physique théorique
%D 1990
%P 83-111
%V 52
%N 1
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1990__52_1_83_0/
%G en
%F AIHPA_1990__52_1_83_0
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P. De Sitter to Poincaré contraction and relativistic coherent states. Annales de l'I.H.P. Physique théorique, Tome 52 (1990) no. 1, pp. 83-111. http://www.numdam.org/item/AIHPA_1990__52_1_83_0/

[1] S.T. Ali and J.-P. Antoine, Ann. Inst. H. Poincaré, Vol. 50, 1989, n° 4.

[2] H. Bacry and J.M. Lévy-Leblond, J. Math. Phys., Vol. 9, 1968, p. 1605. | MR | Zbl

[3] E.P. Wigner, Proc. Nat. Acad. Sci. U.S.A., Vol. 36, 1950, p. 184. C. Fronsdal, Rev. Mod. Phys., Vol. 37, 1965, p. 221. J.-P. Gazeau and M. Hans, J. Math. Phys., Vol. 29, 1988, p. 2533. | MR

[4] E.P. Wigner, Ann. Math., Vol. 40, 1939, p. 149. V. Bargmann, Ann. Math., Vol. 59, 1954, p. 1.

[5] I.M. Gel'Fand, M.I. Graev and N. Ya. Vilenkin, Generalized Functions, Vol. 5, Integral Geometry and Representation Theory, Academic Press, N. Y., 1966. | MR | Zbl

[6] N. Ya. Vilenkin, Special Functions and the Theory of Group Representations, (Transl. RussianMath. Monographs, Vol. 22), Amer. Math. Soc., Providence, R.I., 1968. | MR | Zbl

[7] A. Perelomov, Generalized Coherent States and their Applications, Springer-Verlag, Berlin, 1986. | MR | Zbl

[8] T.O. Philips and E.P. Wigner, in Group Theory and its Applications, E. M. LOEBL Ed., Academic Press, New York, 1968. | MR

[9] S. De Bièvre, J. Math. Phys., Vol. 30, 1989, p. 1401. | MR | Zbl

[10] A.A. Kirillov, Elements of the Theory of Representations, Springer-Verlag, Berlin, 1976. | MR | Zbl

[11] H. Bacry and A. Kihlberg, J. Math. Phys., Vol. 10, 1969, p. 2132. | MR | Zbl

[12] R. Arens, Commun. Math. Phys., Vol. 21, 1971, pp. 125, 139, and J. Math. Phys., Vol. 12, 1971, p. 2415. | Zbl

[13] H. Bacry, Localizability and Space in Quantum Physics, (Lecture Notes in Physics, Vol. 308), Springer-Verlag, Berlin, 1988. | MR | Zbl

[14] B. Doubrovine, S. Novikov and A. Fomenko, Géométrie Contemporaine, Méthodes et Applications (Première partie), Mir, Moscou, 1982. | Zbl

[15] A. Unterberger andJ. Unterberger, Ann. Scient. Ec. Norm. Sup., Vol. 17, 1984, p. 83. | Numdam | Zbl

[16] R.L. Lipsman, Group Representations, (Lecture Notes in Mathematics, Vol. 388), Springer-Verlag, Berlin, 1974, | MR | Zbl

[17] E. Inönü and E.P., Wigner, Proc. Nat. Acad. Sci. U.S.A., Vol, 39, 1953, p. 510. E. Inönü, in Group Theoretical Concepts and Methods in Elementary Particle Physics, F. GÜRSEY Ed,, p, 365, Gordon and Breach, N. Y., 1964. | MR | Zbl

[18] S.T. Ali, J.-P. Antoine and J.-P. Gazeau, Square Integrability of Group Representations on Homogeneous Spaces I, II (in preparation).

[19] R. Balbinot, A. Elgradechi, J.-P. Gazeau and B. Giorgini, Phase Spaces for de Sitterian and Einsteinian Quantum Elementary Systems (in preparation).