Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory
Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory
In this paper we start with proving that the Schrödinger equation (SE) with the classical 12 -6 Lennard-Jones (L-J) potential is nonintegrable in the sense of the differential Galois theory (DGT), for any value of energy; i.e., there are no solutions in closed form for such differential equation.We study the …