Compact manifold of coherent states invariant by semisimple Lie groups
Cavalli, A. ; D'Ariano, G. ; Michel, L.
Annales de l'I.H.P. Physique théorique, Tome 45 (1986), p. 173-193 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1986-01-01
@article{AIHPA_1986__44_2_173_0,
     author = {Cavalli, A. and D'Ariano, G. and Michel, L.},
     title = {Compact manifold of coherent states invariant by semisimple Lie groups},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {45},
     year = {1986},
     pages = {173-193},
     mrnumber = {839283},
     zbl = {0623.32021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1986__44_2_173_0}
}

Cavalli, A.; D'Ariano, G.; Michel, L. Compact manifold of coherent states invariant by semisimple Lie groups. Annales de l'I.H.P. Physique théorique, Tome 45 (1986) pp. 173-193. http://gdmltest.u-ga.fr/item/AIHPA_1986__44_2_173_0/

[1] R. Glauber, Phys. Rev., t. 131, 1966, p. 2766. | MR 161585

[2] A.M. Perelomov, Commun. Math. Phys., t. 26, 1972, p. 222. M. Rasetti, Int. J. Theor. Phys., t. 13, 1973, p. 425. | MR 363209

[3] H. Kuratsuji and T. Suzuki, Prog. Theor. Phys. Suppl., t. 74-75, 1983, p. 209. | MR 708872

[4] G. D'Ariano, M. Rasetti and M. Vadacchino, J. Phys., t. 18 A, 1985, p. 1295. | Zbl 0577.58006

[5] G. D'Ariano and M. Rasetti, Soliton equations τ-functions and coherent states, in Integrable Systems in Statistical Mechanics, G. D'Ariano, A. Montorsi and M. Rasetti eds., World Scientific, Singapore, 1985. | MR 826540 | Zbl 0645.35080

[6] L. Michel, Rev. Mod. Phys., t. 52, 1980, p. 617. | MR 578143

[7] G. D'Ariano and M. Rasetti, Phys. Lett., t. 107 A, 1985, p. 291. | MR 785121

[8] R.N. Cahn, Semisimple Lie Algebras and Their Representations, Benjamin N. Y., 1984. | MR 746790 | Zbl 0565.17003

[9] J.P. Serre, Algèbre de Lie semisimple complexes, Benjamin N. Y., 1966. | Zbl 0144.02105

[10] D. Luna, Invent. Math., t. 16, 1972, p. 1. | MR 294351 | Zbl 0249.14016

[11] D. Montgomery, Proc. Amer. Math. Soc., t. 1, 1950, p. 467. | Zbl 0041.36309

[12] S. Helgason, Differential geometry and Symmetric Spaces, Academic N. Y., 1962. | MR 145455 | Zbl 0111.18101

[13] M. Naimark, A. Stern, Theorie des Representation des Groups, MIR Moscou, 1979.

[14] V. Bargmann, Commun. pure and appl. Math., t. 14, 1961, p. 187. | MR 157250 | Zbl 0107.09102

[15] J. Patera and D. Sankoff, Table of branching rules for representations of simple Lie algebras, Presses de l'Université de Montréal, Montréal, 1980. | MR 450467