Description of tunneling with the help of coupled frozen Gaussians

摘要

A previous initial value coherent state representation is applied to Gaussian wave packet propagation on one-dimensional and two-dimensional double well potnetials.The method uses a basis of trajectory guided frozen Gaussian coherent states,sampled from a Monte Carlo ensemble,for numerical solutions of the quantum time dependent integro-diferential Schrodinger equation.Accurate tunneling splittings ae obtained.Comparisons are also made with corresponding results obtained by the Herman-Kluk semiclassical initial value repesentation wave packet method.