title: Polynomial scheme for time evolution of open and closed quantum systems.
abstract: Based on the generating function of Laguerre polynomials, we propose a Laguerre polynomial expansion scheme in the calculation of the evolution of the time-dependent Schrödinger equation. Theoretical analysis and numerical tests show that the method is equally as good as the Chebyshev polynomial expansion method in efficiency and accuracy, with the additional merits that no scaling to the Hamiltonian is needed and it has wider suitability.
authors.affiliation: Institute of Theoretical Physics, Shanghai Jiao Tong University, 800 DongChuan Road, MinHang, Shanghai 200240, China. jingjun@sjtu.edu.cn
authors.forename: Jun
authors.initials: J
authors.lastname: Jing
authors.forename: H R
authors.initials: HR
authors.lastname: Ma