3.7k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- ARC Centre of Excellence for Engineered Quantum SystemsAU357 papers
- Centre National de la Recherche ScientifiqueFR333 papers
- Australian National UniversityAU332 papers
- University College LondonGB296 papers
- University of MichiganUS282 papers
- Australian Astronomical ObservatoryAU271 papers
- University of PortsmouthGB270 papers
- Institució Catalana de Recerca i Estudis AvançatsES269 papers
- Fermi National Accelerator LaboratoryUS266 papers
- Ludwig-Maximilians-Universität MünchenDE258 papers
- Institute for High Energy PhysicsES252 papers
- Centro de Investigaciones Energéticas, Medioambientales y TecnológicasES250 papers
11 papers · 2 filters
Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators
I. Marquette, C. Quesne
The type III Hermite exceptional orthogonal polynomial family is generalized to a double-indexed one (with even and odd such that ) and t…
New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials
Ian Marquette, Christiane Quesne
In recent years, many exceptional orthogonal polynomials (EOP) were introduced and used to construct new families of 1D exactly solvable quantum potentials, some of which are shape…
Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)
Mark D. Gould, Phillip S. Isaac, Jason L. Werry
We construct explicit formulae for the eigenvalues of certain invariants of the Lie superalgebra gl(m|n) using characteristic identities. We discuss how such eigenvalues are relate…
Discrete holomorphicity and integrability in loop models with open boundaries
Jan de Gier, Alexander Lee, Jorgen Rasmussen
We consider boundary conditions compatible with discrete holomorphicity for the dilute O(n) and C_2^(1) loop models. In each model, for a general set of boundary plaquettes, multip…
Singular Isotonic Oscillator, Supersymmetry and Superintegrability
Ian Marquette
In the case of a one-dimensional nonsingular Hamiltonian and a singular supersymmetric partner , the Darboux and factorization relations of supersymmetric quantum mechanic…
Quasi-exact Treatment of the Relativistic Generalized Isotonic Oscillator
D. Agboola
We investigate the pseudospin symmetry case of a spin-1/2 particle governed by the generalized isotonic oscillator, by presenting quasi exact polynomial solutions to Dirac equation…
Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms
Kun Hao, Wen-Li Yang, Heng Fan +4
We obtain the determinant representations of the scalar products for the XXZ Gaudin model with generic non-diagonal boundary terms.
Highest weight representations and Kac determinants for a class of conformal Galilei algebras with central extension
Naruhiko Aizawa, Phillip S. Isaac, Yuta Kimura
We investigate the representations of a class of conformal Galilei algebras in one spatial dimension with central extension. This is done by explicitly constructing all singular ve…
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…
Novel quasi-exactly solvable models with anharmonic singular potentials
Davids Agboola, Yao-Zhong Zhang
We present new quasi-exactly solvable models with inverse quartic, sextic, octic and decatic power potentials, respectively. We solve these models exactly via the functional Bethe…
Bäcklund flux-quantization in a model of electrodiffusion based on Painlevé II
A. J. Bracken, L. Bass, C. Rogers
A previously-established model of steady one-dimensional two-ion electrodiffusion across a liquid junction is reconsidered. It involves three coupled first-order nonlinear ordinary…