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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1991 Volume 87, Number 2, Pages 163–172 (Mi tmf5480)

This article is cited in 7 papers

Two mathematical problems of canonical quantization. II

A. I. Kirillov


Abstract: 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.

Received: 31.10.1990


 English version:
Theoretical and Mathematical Physics, 1991, 87:2, 447–454

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© Steklov Math. Inst. of RAS, 2026