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 ScientifiqueFR334 papers
- Australian National UniversityAU332 papers
- University College LondonGB296 papers
- University of MichiganUS282 papers
- Australian Astronomical ObservatoryAU271 papers
- University of PortsmouthGB271 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
6 papers · 2 filters
Uniform analytic approximation of Wigner rotation matrices
Scott E. Hoffmann
We derive the leading asymptotic approximation, for low angle θ, of the Wigner rotation matrix elements , uniform in and . The result is in terms of a…
Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials
Md Fazlul Hoque, Ian Marquette, Sarah Post +1
We introduce an extended Kepler-Coulomb quantum model in spherical coordinates. The Schrödinger equation of this Hamiltonian is solved in these coordinates and it is shown that the…
Non-classical behaviour of coherent states for systems constructed using exceptional orthogonal polynomials
Scott E. Hoffmann, Véronique Hussin, Ian Marquette +1
We construct the coherent states and Schrödinger cat states associated with new types of ladder operators for a particular case of a rationally extended harmonic oscillator involvi…
A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras
Fahad Alshammari, Phillip S. Isaac, Ian Marquette
We introduce a search algorithm that utilises differential operator realisations to find polynomial Casimir operators of Lie algebras. To demonstrate the algorithm, we look at two…
Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond
Jason L. Werry, Phillip S. Isaac, Mark D. Gould
In this paper fundamental Wigner coefficients are determined algebraically by considering the eigenvalues of certain generalized Casimir invariants. Here this method is applied in…
Fourth order Superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials
Ian Marquette, Masoumeh Sajedi, Pavel Winternitz
A study is presented of two-dimensional superintegrable systems separating in Cartesian coordinates and allowing an integral of motion that is a fourth order polynomial in the mome…