no. 2
A representation independent propagator. II : Lie groups with square integrable representations
Annales de l'I.H.P. Physique théorique, Tome 65 (1996) no. 2, pp. 175-222
partie précédente A representation independent propagator I : compact Lie groups 
@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},
     pages = {175--222},
     year = {1996},
     publisher = {Gauthier-Villars},
     volume = {65},
     number = {2},
     mrnumber = {1411266},
     zbl = {0888.22019},
     language = {en},
     url = {https://www.numdam.org/item/AIHPA_1996__65_2_175_0/}
}
TY  - JOUR
AU  - Tomé, Wolfgang
TI  - A representation independent propagator. II : Lie groups with square integrable representations
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1996
SP  - 175
EP  - 222
VL  - 65
IS  - 2
PB  - Gauthier-Villars
UR  - https://www.numdam.org/item/AIHPA_1996__65_2_175_0/
LA  - en
ID  - AIHPA_1996__65_2_175_0
ER  - 
%0 Journal Article
%A Tomé, Wolfgang
%T A representation independent propagator. II : Lie groups with square integrable representations
%J Annales de l'I.H.P. Physique théorique
%D 1996
%P 175-222
%V 65
%N 2
%I Gauthier-Villars
%U https://www.numdam.org/item/AIHPA_1996__65_2_175_0/
%G en
%F 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) no. 2, pp. 175-222. https://www.numdam.org/item/AIHPA_1996__65_2_175_0/

[1] E.W. Aslaksen and J.R. Klauder, Unitary representations of the affine group, J. Math. Phys., Vol. 9, 1968, pp. 206-211. | Zbl | MR

[2] E.W. Aslaksen and J.R. Klauder, Continuous representation theory using the affine group, J. Math. Phys., Vol. 10, 1969, pp. 2267-2275. | Zbl | MR

[3] A.O. Barut and R. Rączka, "Theory of Group Representations and Applications," second revised edition, World Scientific, Singapore, 1986. | Zbl | MR

[4] A. Böhm, "The Rigged Hilbert Space and Quantum Mechanics", Springer Verlag, Berlin 1978. | MR

[5] F. Bruhat, 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. | Zbl | MR | Numdam

[6] A.L. Carey, Square-integrable representations of non-unimodular groups, Bull. Austral. Math. Soc., Vol. 15, 1976, pp. 1-12. | Zbl | MR

[7] J. Dixmier, "C*-Algebras", North Holland, Amsterdam, 1977. | Zbl | MR

[8] M. Duflo and C.C. Moore, On the regular representation of a nonunimodular locally compact group, J. Funct. Anal., Vol. 21, 1976, pp. 209-243. | Zbl | MR

[9] N. Dunford and J. Schwartz, "Linear Operators", Part 1, Wiley, New York, 1958.

[10] M. Flato, J. Simon, H. Snellman and D. Sternheimer, Simple facts about analytic vectors and integrability, Ann. scient. Éc. Norm. Sup., Vol. 5, 1972, pp. 423-434. | Zbl | MR | Numdam

[11] I.M. Gel'Fand and M.A. Neumark, Unitary representations of the group of linear transformations of the straight line [russ.], Doklady Akad. Nauk SSSR, Vol. 55, 1947, pp. 571-574. | Zbl | MR

[12] R. Haag, "Local Quantum Physics: Fields, Particles, Algebras", Springer Verlag, Berlin, 1992. | Zbl | MR

[13] C.J. Isham and J.R. Klauder, Coherent states for n-dimensional Euclidean groups E(n) and their application, J. Math. Phys., Vol. 32, 1991, pp. 607-620. | Zbl | MR

[14] J.R. Klauder, Path integrals, Acta Phys. Austriaca Suppl., Vol. XXII, 1980, pp. 3-49. | MR

[15] J.R. Klauder, "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. | Zbl | MR

[16] J.R. Klauder, "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] J.R. Klauder and B.-S. Skagerstam, "Coherent States: Applications in Physics and Mathematical Physics", World Scientific, Singapore, 1985. | Zbl | MR

[18] J.R. Klauder and W.A. Tomé, The universal propagator for affine [or SU(1,1)] coherent states, J. Math. Phys., Vol. 33, 1992, pp. 3700-3709. | Zbl | MR

[19] K. Maurin, "General Eigenfunction Expansions and Unitary Representations of Topological Groups", PWN-Polish Scientific Publishers, Warsaw, 1968. | Zbl | MR

[20] H. Meschkowski, "Hilbertsche Raume mit Kernfunktion", Springer Verlag, Berlin, 1962. | Zbl | MR

[21] E. Nelson, Analytic vectors, Ann. of Math., Vol. 70, 1959, pp. 572-615. | Zbl | MR

[22] L.S. Schulman, "Techniques and Applications of Path Integration", Wiley, New York, 1981. | Zbl | MR

[23] W.A. Tomé, A representation independent propagator. I. Compact Lie groups, Ann. Inst. Henri Poincaré, Theor. Phys., Vol. 63, 1995, pp. 1-40. | Zbl | MR | Numdam

[24] T.T. Troung, New integral equations for the quartic anharmonic oscillator, Nuovo Cimento Lett., Vol. 9, 1974, pp. 533-536.

[25] T.T. Troung, Weyl quantization of anharmonic oscillators, J. Math. Phys., Vol. 16, 1975, pp. 1034-1043. | MR

[26] G. Tulsian and J.R. Klauder, The universal propagator for E(2) coherent states, Commun. Theor. Phys., Vol. 5 (to appear). | MR

[27] L.G. Yaffe, Large N limits as classical mechanics, Rev. Mod. Phys., Vol. 54, 1982, pp. 407-435. | MR