Scattering States of Schrdinger Equation under the Modified Cusp Potential

We solve the one-dimensional time-independent Schrdinger equation in the presence of the modified Cusp potential and report the solutions in terms of the Whittaker functions. We obtain the reflection and transmission coefficients as well as the bound-state solutions in terms of the Whittaker functions. We comment on the solutions and discuss them in terms of the engaged parameters.