Geodesic
Two mathematical problems of canonical quantization. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 2, pp. 163-172 
A. I. Kirillov. Two mathematical problems of canonical quantization. II. Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 2, pp. 163-172. http://geodesic.mathdoc.fr/item/TMF_1991_87_2_a0/
@article{TMF_1991_87_2_a0,
     author = {A. I. Kirillov},
     title = {Two mathematical problems of canonical {quantization.~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--172},
     year = {1991},
     volume = {87},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_87_2_a0/}
}
TY  - JOUR
AU  - A. I. Kirillov
TI  - Two mathematical problems of canonical quantization. II
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1991
SP  - 163
EP  - 172
VL  - 87
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1991_87_2_a0/
LA  - ru
ID  - TMF_1991_87_2_a0
ER  - 
%0 Journal Article
%A A. I. Kirillov
%T Two mathematical problems of canonical quantization. II
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1991
%P 163-172
%V 87
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1991_87_2_a0/
%G ru
%F TMF_1991_87_2_a0

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

The problems of the choice of representation of the canonical commutation relations and of the definition of the Hamiltonian are investigated. The concept of a generalized density of a quasiinvariant measure is introduced. It is shown that the square root of this density is a solution of the Schrödinger equation and determines the ground state of the system. Ways of recovering the measure from its generalized density are considered.