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.
This publication is cited in the following 7 articles:
Massimiliano Gubinelli, Encyclopedia of Mathematical Physics, 2025, 648
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