Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR2k papers
- University of British ColumbiaCA1.9k papers
- McGill UniversityCA1.9k papers
- University of VictoriaCA1.8k papers
- University of California, Santa CruzUS1.7k papers
- Rutherford Appleton LaboratoryGB1.7k papers
- University of ManchesterGB1.7k papers
- Queen Mary University of LondonGB1.7k papers
- University of PisaIT1.6k papers
- University of EdinburghGB1.6k papers
- University of BirminghamGB1.6k papers
- Heidelberg UniversityDE1.6k papers
12 papers · 2 filters
A class of Calogero type reductions of free motion on a simple Lie group
L. Feher, B. G. Pusztai
The reductions of the free geodesic motion on a non-compact simple Lie group G based on the symmetry given by left- and right multiplications for a maximal compact…
Fine group gradings of the real forms of $sl(4,\C)$, $sp(4,\C)$, and $o(4,\C)$
Jiří Patera, Edita Pelantová, Milena Svobodová
We present an explicit description of the 'fine group gradings' (i.e. group gradings which cannot be further refined) of the real forms of the semisimple Lie algebras $sl(4,\C)$, $…
Polynomial Poisson Algebras for Classical Superintegrable Systems with a Third Order Integral of Motion
I. Marquette, P. Winternitz
We present polynomial Poisson algebras for the 8 classical potentials in two-dimensional Euclidian space that separate in cartesian coordinates and allow a third order integral of…
A class of superintegrable systems of Calogero type
Roman G. Smirnov, Pavel Winternitz
We show that the three body Calogero model with inverse square potentials can be interpreted as a maximally superintegrable and multiseparable system in Euclidean three-space. As s…
Susy CP^(N-1) model and surfaces in R^(N^2-1)
V. Hussin, W. J. Zakrzewski
We describe surfaces in R^{N^2-1} generated by the holomorphic solutions of the supersymmetric CP^{N-1} model. We show that these surfaces are described by the fundamental projecto…
Invariants of Lie Algebras with Fixed Structure of Nilradicals
Vyacheslav Boyko, Jiri Patera, Roman Popovych
An algebraic algorithm is developed for computation of invariants ('generalized Casimir operators') of general Lie algebras over the real or complex number field. Its main tools ar…
Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights
M. Bertola, M. Y. Mo
The paper has three parts. In the first part we apply the theory of commuting pairs of (pseudo) difference operators to the (formal) asymptotics of orthogonal polynomials: using pu…
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…
Integrable and superintegrable systems with spin
P. Winternitz, I. Yurdusen
A system of two particles with spin s=0 and s=1/2 respectively, moving in a plane is considered. It is shown that such a system with a nontrivial spin-orbit interaction can allow a…
Difference schemes with point symmetries and their numerical tests
A. Bourlioux, C Cyr-Gagnon, P Winternitz
Symmetry preserving difference schemes approximating second and third order ordinary differential equations are presented. They have the same three or four-dimensional symmetry gro…
Computation of Invariants of Lie Algebras by Means of Moving Frames
Vyacheslav Boyko, Jiri Patera, Roman Popovych
A new purely algebraic algorithm is presented for computation of invariants (generalized Casimir operators) of Lie algebras. It uses the Cartan's method of moving frames and the kn…
Level shift operators for open quantum systems
Marco Merkli
Level shift operators describe the second order displacement of eigenvalues under perturbation. They play a central role in resonance theory and ergodic theory of open quantum syst…