23 citations · 53 across the 4 of their papers we have counts for
6 papers
Twisted spin Sutherland models from quantum Hamiltonian reduction
L. Feher, B. G. Pusztai
Recent general results on Hamiltonian reductions under polar group actions are applied to study some reductions of the free particle governed by the Laplace-Beltrami operator of a…
On the self-adjointness of certain reduced Laplace-Beltrami operators
L. Feher, B. G. Pusztai
The self-adjointness of the reduced Hamiltonian operators arising from the Laplace-Beltrami operator of a complete Riemannian manifold through quantum Hamiltonian reduction based o…
Hamiltonian reductions of free particles under polar actions of compact Lie groups
L. Feher, B. G. Pusztai
Classical and quantum Hamiltonian reductions of free geodesic systems of complete Riemannian manifolds are investigated. The reduced systems are described under the assumption that…
Spin Calogero models associated with Riemannian symmetric spaces of negative curvature
L. Feher, B. G. Pusztai
The Hamiltonian symmetry reduction of the geodesics system on a symmetric space of negative curvature by the maximal compact subgroup of the isometry group is investigated at an ar…
Spin Calogero models and dynamical r-matrices
L. Feher, B. G. Pusztai
The main point of the construction of spin Calogero type classical integrable systems based on dynamical r-matrices, developed by L.-C. Li and P. Xu, is reviewed. It is shown that…
Spin Calogero models obtained from dynamical r-matrices and geodesic motion
L. Feher, B. G. Pusztai
We study classical integrable systems based on the Alekseev-Meinrenken dynamical r-matrices corresponding to automorphisms of self-dual Lie algebras, . We prove that thes…