@article{AIHPA_1996__65_2_175_0,
author = {Tom\'e, Wolfgang},
title = {A representation independent propagator. II : Lie groups with square integrable representations},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {65},
year = {1996},
pages = {175-222},
mrnumber = {1411266},
zbl = {0888.22019},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1996__65_2_175_0}
}
Tomé, Wolfgang. A representation independent propagator. II : Lie groups with square integrable representations. Annales de l'I.H.P. Physique théorique, Tome 65 (1996) pp. 175-222. http://gdmltest.u-ga.fr/item/AIHPA_1996__65_2_175_0/
[1] and , Unitary representations of the affine group, J. Math. Phys., Vol. 9, 1968, pp. 206-211. | MR 233925 | Zbl 0162.58403
[2] and , Continuous representation theory using the affine group, J. Math. Phys., Vol. 10, 1969, pp. 2267-2275. | MR 256642 | Zbl 0184.54601
[3] and , "Theory of Group Representations and Applications," second revised edition, World Scientific, Singapore, 1986. | MR 889252 | Zbl 0644.22011
[4] , "The Rigged Hilbert Space and Quantum Mechanics", Springer Verlag, Berlin 1978. | MR 503149
[5] , Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes p-adiques, Bull. Soc. Math. France, Vol. 89, 1961, pp. 43-75. | Numdam | MR 140941 | Zbl 0128.35701
[6] , Square-integrable representations of non-unimodular groups, Bull. Austral. Math. Soc., Vol. 15, 1976, pp. 1-12. | MR 430146 | Zbl 0327.22008
[7] , "C*-Algebras", North Holland, Amsterdam, 1977. | MR 458185 | Zbl 0372.46058
[8] and , On the regular representation of a nonunimodular locally compact group, J. Funct. Anal., Vol. 21, 1976, pp. 209-243. | MR 393335 | Zbl 0317.43013
[9] and , "Linear Operators", Part 1, Wiley, New York, 1958.
[10] , , and , Simple facts about analytic vectors and integrability, Ann. scient. Éc. Norm. Sup., Vol. 5, 1972, pp. 423-434. | Numdam | MR 376960 | Zbl 0239.22019
[11] and , Unitary representations of the group of linear transformations of the straight line [russ.], Doklady Akad. Nauk SSSR, Vol. 55, 1947, pp. 571-574. | MR 20559 | Zbl 0029.00503
[12] , "Local Quantum Physics: Fields, Particles, Algebras", Springer Verlag, Berlin, 1992. | MR 1182152 | Zbl 0777.46037
[13] and , Coherent states for n-dimensional Euclidean groups E(n) and their application, J. Math. Phys., Vol. 32, 1991, pp. 607-620. | MR 1093798 | Zbl 0735.22012
[14] , Path integrals, Acta Phys. Austriaca Suppl., Vol. XXII, 1980, pp. 3-49. | MR 602334
[15] , "Path Integrals for Affine Variables." In: J. P. Antoine and E. Tirapequi (eds.), Functional Integration Theory and Applications, Proceedings, pp. 101-119, Plenum, New York, 1980. | MR 602176 | Zbl 0481.28012
[16] , "The universal propagator." In: D. Han, Y. S. Kim and W. W. Zachary (eds.), Workshop on Harmonic Oscillators, Proceedings, Maryland, USA, 1992, pp. 19- 28, NASA Publication 3197, 1993.
[17] and , "Coherent States: Applications in Physics and Mathematical Physics", World Scientific, Singapore, 1985. | MR 826247 | Zbl 1050.81558
[18] and , The universal propagator for affine [or SU(1,1)] coherent states, J. Math. Phys., Vol. 33, 1992, pp. 3700-3709. | MR 1185844 | Zbl 0780.46039
[19] , "General Eigenfunction Expansions and Unitary Representations of Topological Groups", PWN-Polish Scientific Publishers, Warsaw, 1968. | MR 247377 | Zbl 0185.39001
[20] , "Hilbertsche Raume mit Kernfunktion", Springer Verlag, Berlin, 1962. | MR 140912 | Zbl 0103.08802
[21] , Analytic vectors, Ann. of Math., Vol. 70, 1959, pp. 572-615. | MR 107176 | Zbl 0091.10704
[22] , "Techniques and Applications of Path Integration", Wiley, New York, 1981. | MR 601595 | Zbl 0587.28010
[23] , A representation independent propagator. I. Compact Lie groups, Ann. Inst. Henri Poincaré, Theor. Phys., Vol. 63, 1995, pp. 1-40. | Numdam | MR 1354438 | Zbl 0842.22025
[24] , New integral equations for the quartic anharmonic oscillator, Nuovo Cimento Lett., Vol. 9, 1974, pp. 533-536.
[25] , Weyl quantization of anharmonic oscillators, J. Math. Phys., Vol. 16, 1975, pp. 1034-1043. | MR 375996
[26] and , The universal propagator for E(2) coherent states, Commun. Theor. Phys., Vol. 5 (to appear). | MR 1369180
[27] , Large N limits as classical mechanics, Rev. Mod. Phys., Vol. 54, 1982, pp. 407-435. | MR 694200