16 citations · 35 across the 3 of their papers we have counts for
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math-ph2014★ 11 cited
Classical-quantum correspondence for shape-invariant systems
A. M. Grundland, D. Riglioni
A quantization procedure, which has recently been introduced for the analysis of Painlevé equations, is applied to a general time-independent potential of a Newton equation. This a…
math-ph2013★ 16 cited
Superintegrable systems with spin induced by coalgebra symmetry
D. Riglioni, O. Gingras, P. Winternitz
A method for deriving superintegrable Hamiltonians with a spin orbital interaction is presented. The method is applied to obtain a new superintegrable system in Euclidean space $\m…
math-ph2013★ 8 cited
Soliton surfaces and generalized symmetries of integrable systems
A. M. Grundland, S. Post, D. Riglioni
In this paper, we discuss some specific features of symmetries of integrable systems which can be used to contruct the Fokas-Gel'fand formula for the immersion of 2D-soliton surfac…