Optical rectification and absorption coefficients studied by a short-range topless exponential potential well with inverse square root

A 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 optical rectification (OR) and absorption coefficients (AC) with this special potential energy V(x) will appear regular changes. In this work, we explore the specific characteristics of the OR and AC with the inverse square root potential through multiple factors such as energy intervals and matrix elements.