91 citations · 1.2k across the 114 of their papers we have counts for
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quant-ph2020★ 2 cited
Non-linear ladder operators and coherent states for the 2:1 oscillator
James Moran, Véronique Hussin, Ian Marquette
The 2:1 two-dimensional anisotropic quantum harmonic oscillator is considered and new sets of states are defined by means of normal-ordering non-linear operators through the use of…
quant-ph2020★ 6 cited
Fourth Painlevé and Ermakov equations: quantum invariants and new exactly-solvable time-dependent Hamiltonians
Kevin Zelaya, Ian Marquette, Véronique Hussin
In this work, we introduce a new realization of exactly-solvable time-dependent Hamiltonians based on the solutions of the fourth Painlevé and the Ermakov equations. The latter is…