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
23 papers · 2 filters
Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems
L. Delisle-Doray, V. Hussin, S. Kuru +1
Ladder functions in classical mechanics are defined in a similar way as ladder operators in the context of quantum mechanics. In the present paper, we develop a new method for obta…
Brezin-Gross-Witten tau function and isomonodromic deformations
Marco Bertola, Giulio Ruzza
The Brezin-Gross-Witten tau function is a tau function of the KdV hierarchy which arises in the weak coupling phase of the Brezin-Gross-Witten model. It falls within the family of…
Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator
Scott E. Hoffmann, Véronique Hussin, Ian Marquette +1
We construct ladder operators, and , for a multi-step rational extension of the harmonic oscillator on the half plane, . These ladder operator…
Four-body problem in d-dimensional space: ground state, (quasi)-exact-solvability. IV
M. A. Escobar-Ruiz, Willard Miller, Alexander V. Turbiner
Due to its great importance for applications, we generalize and extend the approach of our previous papers to study aspects of the quantum and classical dynamics of a -body syst…
Bargmann and Barut-Girardello models for the Racah algebra
Hendrik De Bie, Plamen Iliev, Luc Vinet
The Racah algebra and its higher rank extension are the algebras underlying the univariate and multivariate Racah polynomials. In this paper we develop two new models in which the…
Higher rank classical analogs of the Askey-Wilson algebra from the Onsager algebra
Pascal Baseilhac, Nicolas Crampe, Rodrigo A. Pimenta
The -Onsager algebra has been introduced by Uglov and Ivanov in 1995. In this letter, a FRT presentation of the -Onsager algebra is given, its current algebra and commu…
corepresentations and bivariate -Krawtchouk polynomials
Geoffroy Bergeron, Erik Koelink, Luc Vinet
The matrix elements of unitary corepresentations, which are analogues of the symmetric powers of the natural repesentation, are shown to be the bivariate -Krawtchouk o…
The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type
Pascal Baseilhac, Satoshi Tsujimoto, Luc Vinet +1
The Heun-Askey-Wilson algebra is introduced through generators $\{\boX,\boW\}$ and relations. These relations can be understood as an extension of the usual Askey-Wilson ones. A ce…
The Higgs and Hahn algebras from a Howe duality perspective
Luc Frappat, Julien Gaboriaud, Luc Vinet +2
The Hahn algebra encodes the bispectral properties of the eponymous orthogonal polynomials. In the discrete case, it is isomorphic to the polynomial algebra identified by Higgs as…
Two-dimensional superintegrable systems from operator algebras in one dimension
Ian Marquette, Masoumeh Sajedi, Pavel Winternitz
We develop new constructions of 2D classical and quantum superintegrable Hamiltonians allowing separation of variables in Cartesian coordinates. In classical mechanics we start fro…
The dual pair , the Dirac equation and the Bannai-Ito algebra
Julien Gaboriaud, Luc Vinet, Stéphane Vinet +1
The Bannai-Ito algebra can be defined as the centralizer of the coproduct embedding of in . It will be shown that it is also…
The generalized Racah algebra as a commutant
Julien Gaboriaud, Luc Vinet, Stéphane Vinet +1
The Racah algebra of rank is obtained as the commutant of the \mbox{} subalgebra of in oscillator representations of t…
The Racah algebra as a commutant and Howe duality
Julien Gaboriaud, Luc Vinet, Stéphane Vinet +1
The Racah algebra encodes the bispectrality of the eponym polynomials. It is known to be the symmetry algebra of the generic superintegrable model on the -sphere. It is further…
Rigorous asymptotics of a KdV soliton gas
Manuela Girotti, Tamara Grava, Robert Jenkins +1
We analytically study the long time and large space asymptotics of a new broad class of solutions of the KdV equation introduced by Dyachenko, Zakharov, and Zakharov. These solutio…
Structural equations of supermanifolds immersed in the superspace with a prescribed curvature
Sébastien Bertrand, A. Michel Grundland
The aim of this paper is to construct the structural equations of supermanifolds immersed in Euclidean, hyperbolic and spherical superspaces parametrised with two bosonic and two f…
Weighted Hurwitz numbers and topological recursion
A. Alexandrov, G. Chapuy, B. Eynard +1
The KP and 2D Toda tau-functions of hypergeometric type that serve as generating functions for weighted single and double Hurwitz numbers are related to the topological recursion p…
General -order superintegrable systems separating in polar coordinates
A. M. Escobar-Ruiz, P. Winternitz, I. Yurdusen
The general description of superintegrable systems with one polynomial integral of order in the momenta is presented for a Hamiltonian system in two-dimensional Euclidean plane…
Fourth-order superintegrable systems separating in Polar Coordinates. II. Standard Potentials
A. M. Escobar-Ruiz, J. C. López Vieyra, P. Winternitz +1
Superintegrable Hamiltonian systems in a two-dimensional Euclidean space are considered. We present all real standard potentials that allow separation of variables in polar coordin…
Three charges on a plane in a magnetic field: Special trajectories
M. A. Escobar-Ruiz, C. A. Escobar
As a generalization and extension of JMP 54 (2013) 022901, the classical dynamics of three non-relativistic Coulomb charges , and on the plane…
Coherent states for ladder operators of general order related to exceptional orthogonal polynomials
Scott E. Hoffmann, Véronique Hussin, Ian Marquette +1
We construct the coherent states of general order, for the ladder operators, and , which act on rational deformations of the harmonic oscillator. The posit…
On the computation of fusion over the affine Temperley-Lieb algebra
Jonathan Belletête, Yvan Saint-Aubin
Fusion product originates in the algebraisation of the operator product expansion in conformal field theory. Read and Saleur (2007) introduced an analogue of fusion for modules ove…
Fusion and monodromy in the Temperley-Lieb category
Jonathan Belletête, Yvan Saint-Aubin
Graham and Lehrer (1998) introduced a Temperley-Lieb category whose objects are the non-negative integers and the morphisms in are the…
Asymptotics of quantum weighted Hurwitz numbers
J. Harnad, Janosch Ortmann
This work concerns both the semiclassical and zero temperature asymptotics of quantum weighted double Hurwitz numbers. The partition function for quantum weighted double Hurwitz nu…