SYMMETRY REDUCTION OF BROWNIAN MOTION AND QUANTUM CALOGERO–MOSER MODELS
- HOCHGERNER, SIMON Section de Mathematiques, Station 8, EPFL, CH-1015 Lausanne, Switzerland
- 2012-12-18
Published in:
- Stochastics and Dynamics. - World Scientific Pub Co Pte Lt. - 2012, vol. 13, no. 01, p. 1250007
English
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 Schrödinger 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.
- Language
-
- English
- Open access status
- green
- Identifiers
-
- DOI 10.1142/s0219493712500074
- ISSN 0219-4937
- Persistent URL
- https://sonar.ch/global/documents/80339
Statistics
Document views: 5
File downloads:
- Full-text: 0