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
28 papers · 2 filters
Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation
Laurent Delisle, Masoud Mosaddeghi
In this paper, we propose the study of the Boiti-Leon-Manna-Pempinelli equation from two point of views: the classical and supersymmetric cases. In the classical case, we construct…
Invariant meshless discretization schemes
Alexander Bihlo
A method is introduced for the construction of meshless discretization schemes which preserve Lie symmetries of the differential equations that these schemes approximate. The metho…
Constant curvature solutions of Grassmannian sigma models: (2) Non-holomorphic solutions
Laurent Delisle, Véronique Hussin, Wojtek J. Zakrzewski
We generalize here our general procedure for constructing constant curvature maps of 2-spheres into Grassmannian manifolds G(m,n) this time concentrating our attention on maps whic…
Conservative parameterization schemes
Alexander Bihlo, George Bluman
Parameterization (closure) schemes in numerical weather and climate prediction models account for the effects of physical processes that cannot be resolved explicitly by these mode…
Invariant Discretization Schemes Using Evolution-Projection Techniques
Alexander Bihlo, Jean-Christophe Nave
Finite difference discretization schemes preserving a subgroup of the maximal Lie invariance group of the one-dimensional linear heat equation are determined. These invariant schem…
Spanning tree generating functions and Mahler measures
Anthony J. Guttmann, Mathew D. Rogers
We define the notion of a spanning tree generating function (STGF) , which gives the spanning tree constant when evaluated at and gives the lattice Green funct…
A superintegrable finite oscillator in two dimensions with SU(2) symmetry
Hiroshi Miki, Sarah Post, Luc Vinet +1
A superintegrable finite model of the quantum isotropic oscillator in two dimensions is introduced. It is defined on a uniform lattice of triangular shape. The constants of the mot…
An integral arising from the chiral sl(n) Potts model
Anthony J. Guttmann, Mathew D. Rogers
We show that the integral , can be expressed in terms of hy…
The Spectral Structure of the Electronic Black Box Hamiltonian
Philip Grech, Vojkan Jakšić, Matthias Westrich
We give results on the absence of singular continuous spectrum of the one-particle Hamiltonian underlying the electronic black box model.
Superintegrable systems with spin and second-order integrals of motion
Jean-Francois Desilets, Pavel Winternitz, Ismet Yurdusen
We investigate a quantum nonrelativistic system describing the interaction of two particles with spin 1/2 and spin 0, respectively. We assume that the Hamiltonian is rotationally i…
Infinite families of superintegrable systems separable in subgroup coordinates
Daniel Lévesque, Sarah Post, Pavel Winternitz
A method is presented that makes it possible to embed a subgroup separable superintegrable system into an infinite family of systems that are integrable and exactly-solvable. It is…
The algebra of dual -1 Hahn polynomials and the Clebsch-Gordan problem of sl_{-1}(2)
Vincent X Genest, Luc Vinet, Alexei Zhedanov
The algebra H of the dual -1 Hahn polynomials is derived and shown to arise in the Clebsch-Gordan problem of sl_{-1}(2). The dual -1 Hahn polynomials are the bispectral polynomials…
The bicomplex quantum Coulomb potential problem
J. Mathieu, L. Marchildon, D. Rochon
Generalizations of the complex number system underlying the mathematical formulation of quantum mechanics have been known for some time, but the use of the commutative ring of bico…
The excitation spectrum for weakly interacting bosons in a trap
Philip Grech, Robert Seiringer
We investigate the low-energy excitation spectrum of a Bose gas confined in a trap, with weak long-range repulsive interactions. In particular, we prove that the spectrum can be de…
Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2
Francis W. Lemire, Jiri Patera, Marzena Szajewska
The characters of irreducible finite dimensional representations of compact simple Lie group G are invariant with respect to the action of the Weyl group W(G) of G. The defining pr…
Third-order superintegrable systems separable in parabolic coordinates
I. Popper, S. Post, P. Winternitz
In this paper, we investigate superintegrable systems which separate in parabolic coordinates and admit a third-order integral of motion. We give the corresponding determining equa…
Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions
Laurent Delisle, Veronique Hussin, Wojtek J. Zakrzewski
We present a general formula for the Gaussian curvature of curved holomorphic 2-spheres in Grassmannian manifolds G(m, n). We then show how to construct such solutions with constan…
Standard Modules, Induction and the Temperley-Lieb Algebra
David Ridout, Yvan Saint-Aubin
The basic properties of the Temperley-Lieb algebra with parameter , for any non-zero complex number, are reviewed in a pedagogical way. The link and stand…
An Algebraic Model for the Multiple Meixner Polynomials of the First Kind
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet +1
An interpretation of the multiple Meixner polynomials of the first kind is provided through an infinite Lie algebra realized in terms of the creation and annihilation operators of…
A homomorphism between link and XXZ modules over the periodic Temperley-Lieb algebra
Alexi Morin-Duchesne, Yvan Saint-Aubin
We study finite loop models on a lattice wrapped around a cylinder. A section of the cylinder has N sites. We use a family of link modules over the periodic Temperley-Lieb algebra…
Six types of functions of the Lie groups O(5) and G(2)
Lenka Háková, Jiří Hrivnák, Jiří Patera
New families of -functions are described in the context of the compact simple Lie groups O(5) and G(2). These functions of two real variables generalize the common exponential f…
Three variable exponential functions of the alternating group
Jiří Hrivnák, Jiří Patera, Severin Pošta
New class of special functions of three real variables, based on the alternating subgroup of the permutation group , is studied. These functions are used for Fourier-like expa…
On E-functions of Semisimple Lie Groups
Jiří Hrivnák, Iryna Kashuba, Jiří Patera
We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group as their expansions into series of special func…
Gaussian cubature arising from hybrid characters of simple Lie groups
Robert V. Moody, Lenka Motlochova, Jiri Patera
Lie groups with two different root lengths allow two mixed sign homomorphisms on their corresponding Weyl groups, which in turn give rise to two families of hybrid Weyl group orbit…