Quantization in complex symmetric spaces
Izvestiya. Mathematics , Tome 9 (1975) no. 2, pp. 341-379

Voir la notice de l'article provenant de la source Math-Net.Ru

By means of the method described in the author's paper “Quantization” (Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974), 1116–1174), we construct the quantization of a classical mechanics whose phase space is a classical complex symmetric space. We establish the important qualitative differences between the quantization of such mechanics and the quantization of ordinary mechanics with plane phase spaces: for all the spaces considered, except for the sphere, Planck's constant is bounded above. Moreover, in the compact case Planck's constant takes on only discrete values. Bibliography: 17 items.
@article{IM2_1975_9_2_a6,
     author = {F. A. Berezin},
     title = {Quantization in complex symmetric spaces},
     journal = {Izvestiya. Mathematics },
     pages = {341--379},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a6/}
}
TY  - JOUR
AU  - F. A. Berezin
TI  - Quantization in complex symmetric spaces
JO  - Izvestiya. Mathematics 
PY  - 1975
SP  - 341
EP  - 379
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a6/
LA  - en
ID  - IM2_1975_9_2_a6
ER  - 
%0 Journal Article
%A F. A. Berezin
%T Quantization in complex symmetric spaces
%J Izvestiya. Mathematics 
%D 1975
%P 341-379
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a6/
%G en
%F IM2_1975_9_2_a6
F. A. Berezin. Quantization in complex symmetric spaces. Izvestiya. Mathematics , Tome 9 (1975) no. 2, pp. 341-379. http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a6/