A Schrödinger potential involving $x^{\frac{2}{3}}$ and centrifugal-barrier terms conditionally integrable in terms of the confluent hypergeometric functions

V. A. Manukyan, T. A. Ishkhanyan, A. M. Ishkhanyan

The solution of the one-dimensional Schrödinger equation for a potential involving an attractive $x^{\frac{2}{3}}$ and a repulsive centrifugal-barrier $\sim x^{-2}$ terms is presente…