13 citations · 73 across the 22 of their papers we have counts for
3 papers · 1 filter
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…
Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations
Primitivo B. Acosta-Humánez, Chara Pantazi
In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the "invariance"…
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…