3 citations · 5 across the 6 of their papers we have counts for
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Liouvillian Solutions of Schrödinger Equation with Polynomial Potentials using Gröbner Basis
Primitivo Belén Acosta-Humánez, Henock Venegas-Gómez
The main aim of this paper is the presentation of a new methodology to obtain Liouvillian solutions of stationary one dimensional Schrödinger equation with quasi-solvable polynomia…
Algebraic and qualitative remarks about the family
Primitivo B. Acosta-Humánez, Alberto Reyes-Linero, Jorge Rodríguez-Contreras
The aim of this paper is the analysis, from algebraic point of view and singularities studies, of the 5-parametric family of differential equations \begin{equation*}\label{folpz} y…
Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory
Manuel F. Acosta-Humánez, Primitivo B. Acosta-Humánez, Erick Tuirán
In this paper we start with proving that the Schrödinger equation (SE) with the classical Lennard-Jones (L-J) potential is nonintegrable in the sense of the differential Gal…