Exact solution of inverse-square-root potential $V\left(r\right)=-\frac{\alpha }{\sqrt{r}}$

Abstract

An exact solution of the three-dimensional spherical symmetry inverse-square-root potential $V\left(r\right)=-\frac{\alpha }{\sqrt{r}}$, including scattering and bound-state solutions, is presented.

References in corpus (3)

• Exact solution of the Schrödinger equation for the inverse square root potential $V_0/\sqrt{x}$
• The number of eigenstates: counting function and heat kernel
• Simplified Pure Spinor b Ghost in a Curved Heterotic Superstring Background

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