Geodesic
Two mathematical problems of canonical quantization.~II
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 2, pp. 163-172

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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. 
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     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},
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     number = {2},
     year = {1991},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1991_87_2_a0/}
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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/