113 citations · 971 across the 28 of their papers we have counts for
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math-ph2013★ 6 cited
A class of exactly solvable models for the Schrodinger equation
C. A. Downing
We present a class of confining potentials which allow one to reduce the one-dimensional Schroodinger equation to a named equation of mathematical physics, namely either Bessel's o…
math-ph2012★ 109 cited
On a solution of the Schrodinger equation with a hyperbolic double-well potential
C. A. Downing
We report a solution of the one-dimensional Schrodinger equation with a hyperbolic double-well confining potential via a transformation to the so-called confluent Heun equation. We…