The Analytical Transfer Matrix Method Combined with Supersymmetry:Coulomb Potential

摘要

Combining the analytical transfer matrix method with supersymmetry algebra,a new quantization condition is suggested.To demonstrate the efficiency of the new quantization condition,the eigenenergies of the Coulomb potential are analytically derived.The scattering-led phase shifts are also determined and they are the same for all Coulomb potential states.It is found that the new quantization condition is mathematically simple and exact.