An example of double confluent Heun equation: Schroedinger equation with supersingular plus Coulomb potential
Mathematical Physics
2009-07-28 v1 math.MP
Quantum Physics
Abstract
A recently proposed algorithm to obtain global solutions of the double confluent Heun equation is applied to solve the quantum mechanical problem of finding the energies and wave functions of a particle bound in a potential sum of a repulsive supersingular term, Ar(-4), plus an attractive Coulombian one, -Zr(-1). The existence of exact algebraic solutions for certain values of A is discussed.
Keywords
Cite
@article{arxiv.0907.4431,
title = {An example of double confluent Heun equation: Schroedinger equation with supersingular plus Coulomb potential},
author = {Julio Abad and Javier Sesma},
journal= {arXiv preprint arXiv:0907.4431},
year = {2009}
}
Comments
11 pages