@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},
year = {1990},
publisher = {Gauthier-Villars},
volume = {52},
number = {1},
mrnumber = {1046086},
zbl = {0706.22018},
language = {en},
url = {https://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 - https://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 https://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. https://www.numdam.org/item/AIHPA_1990__52_1_83_0/
[1] and , Ann. Inst. H. Poincaré, Vol. 50, 1989, n° 4.
[2] and , J. Math. Phys., Vol. 9, 1968, p. 1605. | Zbl | MR
[3] , Proc. Nat. Acad. Sci. U.S.A., Vol. 36, 1950, p. 184. , Rev. Mod. Phys., Vol. 37, 1965, p. 221. and , J. Math. Phys., Vol. 29, 1988, p. 2533. | MR
[4] , Ann. Math., Vol. 40, 1939, p. 149. , Ann. Math., Vol. 59, 1954, p. 1.
[5] , and , Generalized Functions, Vol. 5, Integral Geometry and Representation Theory, Academic Press, N. Y., 1966. | Zbl | MR
[6] , Special Functions and the Theory of Group Representations, (Transl. RussianMath. Monographs, Vol. 22), Amer. Math. Soc., Providence, R.I., 1968. | Zbl | MR
[7] , Generalized Coherent States and their Applications, Springer-Verlag, Berlin, 1986. | Zbl | MR
[8] and , in Group Theory and its Applications, E. M. LOEBL Ed., Academic Press, New York, 1968. | MR
[9] , J. Math. Phys., Vol. 30, 1989, p. 1401. | Zbl | MR
[10] , Elements of the Theory of Representations, Springer-Verlag, Berlin, 1976. | Zbl | MR
[11] and , J. Math. Phys., Vol. 10, 1969, p. 2132. | Zbl | MR
[12] , Commun. Math. Phys., Vol. 21, 1971, pp. 125, 139, and J. Math. Phys., Vol. 12, 1971, p. 2415. | Zbl
[13] , Localizability and Space in Quantum Physics, (Lecture Notes in Physics, Vol. 308), Springer-Verlag, Berlin, 1988. | Zbl | MR
[14] , and , Géométrie Contemporaine, Méthodes et Applications (Première partie), Mir, Moscou, 1982. | Zbl
[15] and, Ann. Scient. Ec. Norm. Sup., Vol. 17, 1984, p. 83. | Zbl | Numdam
[16] , Group Representations, (Lecture Notes in Mathematics, Vol. 388), Springer-Verlag, Berlin, 1974, | Zbl | MR
[17] and , Proc. Nat. Acad. Sci. U.S.A., Vol, 39, 1953, p. 510. , in Group Theoretical Concepts and Methods in Elementary Particle Physics, F. GÜRSEY Ed,, p, 365, Gordon and Breach, N. Y., 1964. | Zbl | MR
[18] , and , Square Integrability of Group Representations on Homogeneous Spaces I, II (in preparation).
[19] , , and , Phase Spaces for de Sitterian and Einsteinian Quantum Elementary Systems (in preparation).






