Laguerre scheme: Another member for propagating the time-dependent Schrodinger equation

摘要

A global propagation scheme for the time-dependent Schrodinger equation is proposed on the basis of the generating function of the Hermite polynomial for expansion of the evolution operator e(-iHt). Theoretical analysis and numerical tests have shown that the present scheme is an equivalent to the Chebyshev scheme with two extra advantages. [References: 12]