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(D + 1)-Dimensional Formulation for D-Dimensional Constrained Systems

Year: 1992
Type: article
Abstract: D-dimensional constrained systems are studied with stochastic Lagrangian and\break Hamiltonian. It is shown that stochastic consistency conditions are second class constraints and Lagrange multiplier fields can be determined in (D+1)-dimensional canonical formulation. The Langevin equations for the constrained system are obtained as Hamilton's equations of motion where conjugate momenta play a part of noise fields.
Author: R. Mochizuki
Institution: Chiba University
Language: English
Open Access status: green
OpenAlex ID: W2140901657
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