Exact and approximate solutions of Schrödinger's equation with hyperbolic double-well potentials

Richard L. Hall, Nasser Saad

Analytic and approximate solutions for the energy eigenvalues generated by the hyperbolic potentials $V_m(x)=-U_0{\sinh }^{2m}(x/d)/{\cosh }^{2m+2}(x/d),m=0,1,2,\dots$ are constructed.…