Symmetry Reduction Of Brownian Motion And Quantum Calogero-Moser Models

Let Q be a Riemannian G-manifold. This paper is concerned with the symmetry reduction of Brownian motion in Q and ramifications thereof in a Hamiltonian context. Specializing to the case of polar actions, we discuss various versions of the stochastic Hamilton-Jacobi equation associated to the symmetry reduction of Brownian motion and observe some similarities to the Schrodinger equation of the quantum-free particle reduction as described by Feher and Pusztai [10]. As an application we use this reduction scheme to derive examples of quantum Calogero-Moser systems from a stochastic setting.


Published in:
Stochastics And Dynamics, 13, 1
Year:
2013
Publisher:
Singapore, World Scientific Publ Co Pte Ltd
ISSN:
0219-4937
Keywords:
Laboratories:




 Record created 2013-05-13, last modified 2018-12-03


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