91 citations · 1.2k across the 114 of their papers we have counts for
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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…
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…