On a solution of the Schrödinger equation with a hyperbolic double-well potential
Journal of Mathematical Physics
American Institute of Physics (AIP)
We report a solution of the one-dimensional Schrödinger equation with a hyperbolic double-well confining potential via a transformation to the so-called confluent Heun equation. We discuss the requirements on the parameters of the system in which a reduction to confluent Heun polynomials is possible, representing the wavefunctions of bound states.
Engineering and Physical Sciences Research Council (EPSRC)
Copyright © 2013 AIP Publishing
Vol.54 (7), article 072101