Different Versions of Perturbation Expansion Based on the SIngle－Trajectory Quadrature Method

The newly developed single trajectory quadrature method is applied to a two-dimensional example. Theresults based on different versions of new perturbation expansion and the new Green's function deduced from thismethod are compared with each other, also compared with the result from the traditional perturlbation theory. As thefirst application to higher-dimensional non-separable potential thc obtained result further confirms the applicability andpotential of this new method.

The newly developed single trajectory quadrature method is applied to a two-dimensional example. The results based on different versions of new perturbation expansion and the new Green's function deduced from this method are compared with each other, also compared with the result from the traditional perturbation theory. As the first application to higher-dimensional non-separable potential the obtained result further confirms the applicability and potential of this new method.