SYMMETRY REDUCTION OF BROWNIAN MOTION AND QUANTUM CALOGERO–MOSER MODELS
From MaRDI portal
Publication:4908340
DOI10.1142/S0219493712500074zbMath1268.81167arXiv1103.4531MaRDI QIDQ4908340
Publication date: 5 March 2013
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.4531
Many-body theory; quantum Hall effect (81V70) Invariance and symmetry properties for PDEs on manifolds (58J70) Diffusion processes and stochastic analysis on manifolds (58J65) Momentum maps; symplectic reduction (53D20) Stochastic quantization (81S20) Special quantum systems, such as solvable systems (81Q80)
Related Items (1)
Cites Work
- Unnamed Item
- Geometric control and numerical aspects of nonholonomic systems
- Spin Calogero models obtained from dynamical \(r\)-matrices and geodesic motion
- Spin Calogero models associated with Riemannian symmetric spaces of negative curvature
- Stochastic Hamiltonian dynamical systems
- The stochastic Hamilton-Jacobi equation
- On the geometry of the Hamilton-Jacobi-Bellman equation
- Hamiltonian reductions of free particles under polar actions of compact Lie groups
- Time reversal of diffusions
- Stratified symplectic spaces and reduction
- Critical point theory and submanifold geometry
- Quantum systems related to root systems, and radial parts of Laplace operators
- Nonholonomic reduction
- Momentum maps and Hamiltonian reduction
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- Singular cotangent bundle reduction \& spin Calogero-Moser systems
- A formula for the radial part of the Laplace-Beltrami operator
- REDUCTION, RECONSTRUCTION, AND SKEW-PRODUCT DECOMPOSITION OF SYMMETRIC STOCHASTIC DIFFERENTIAL EQUATIONS
- Hamiltonian group actions and dynamical systems of calogero type
This page was built for publication: SYMMETRY REDUCTION OF BROWNIAN MOTION AND QUANTUM CALOGERO–MOSER MODELS