88 citations · 123 across the 16 of their papers we have counts for
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math.DS2010★ 5 cited
On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory
Primitivo B. Acosta-Humánez, J. Tomás Lázaro-Ochoa, Juan J. Morales-Ruiz +1
We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. I…
quant-ph2010★ 5 cited
Galoisian Approach to integrability of Schrödinger Equation
Primitivo B. Acosta-Humánez, Juan J. Morales-Ruiz, Jacques-Arthur Weil
In this paper, we examine the non-relativistic stationary Schrödinger equation from a differential Galois-theoretic perspective. The main algorithmic tools are pullbacks of second…