Uniform Asymptotic Solutions of a System of two Schrödinger Equations with Potential-Curve-Crossing Point

Irina Jakushina

A formal uniform asymptotic solution of the system of differential equations $h^2\frac{d^2{U}_1}{d{z}^2}+{\Phi }_1{U}_1=\alpha U_2$ , $ h^{2}\frac{d^{2}U_{2}}{dz^{2}}+Φ_{2} U_{2}=αU…