Second-Harmonic Generation Investigated by Topless Potential Well With Inverse Square Root

A short-range topless potential energy with inverse square root is introduced to solve the energy spectrum equations and the bound state wave functions of the static Schrödinger equation by coordinate variation and combining the extraordinary coefficients of the confluent hypergeometric functions. Furthermore, the model of second-harmonic generation (SHG) with this special potential energy V(z) will appear regular changes. In this letter, we explore the specific characteristics of the second-harmonic generation under the inverse square root potential through multiple factors such as energy intervals and matrix elements.