77 citations · 502 across the 47 of their papers we have counts for
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Third-order ladder operators, generalized Okamoto and exceptional orthogonal polynomials
Véronique Hussin, Ian Marquette, Kevin Zelaya
We extend and generalize the construction of Sturm-Liouville problems for a family of Hamiltonians constrained to fulfill a third-order shape-invariance condition and focusing on t…
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…
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…
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…
Coherent states for the supersymmetric partners of the truncated oscillator
David J Fernández, Véronique Hussin, VS Morales-Salgado
We build the coherent states for a family of solvable singular Schrödinger Hamiltonians obtained through supersymmetric quantum mechanics from the truncated oscillator. The main fe…
General solutions of the supersymmetric sigma model and its generalisation to
Laurent Delisle, Véronique Hussin, Wojtek J. Zakrzewski
A new approach for the construction of finite action solutions of the supersymmetric sigma model is presented. We show that this approach produces more non-holo…