Exact Solutions of the Morse-like Potential, Step-Up and Step-Down Operators via Laplace Transform Approach

Altug Arda, Ramazan Sever

We intend to realize the step-up and step-down operators of the potential $V(x)=V_1{e}^{2\beta x}+V_2{e}^{\beta x}$. It is found that these operators satisfy the commutation relations for th…