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

被引：16
作者：
Hu, XG [1 ]
机构：
[1] Princeton Univ, Dept Chem, Princeton, NJ 08544 USA
来源：
PHYSICAL REVIEW E | 1999年 / 59卷 / 02期
关键词：
D O I：
10.1103/PhysRevE.59.2471
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
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.
引用
收藏
页码：2471 / 2474
页数：4
相关论文
共 12 条
[1]  
ARFKEN G, 1985, MATH METHODS PHYSICI
[2]  
BROECKHOVE J, 1992, TIME DEPENDENT QUANT
[3]  
Gradshteyn I.S., 1980, TABLE INTEGRALS SERI
[4]   WAVE PACKET DYNAMICS OF RESONANCE DECAY - AN ITERATIVE EQUATION APPROACH WITH APPLICATION TO HCO-]H+CO [J].
GRAY, SK .
JOURNAL OF CHEMICAL PHYSICS, 1992, 96 (09) :6543-6554
[5]   Variational reproducing kernel Hilbert space (RKHS) grid method for quantum mechanical bound-state problems [J].
Hu, XG ;
Ho, TS ;
Rabitz, H .
CHEMICAL PHYSICS LETTERS, 1998, 288 (5-6) :719-726
[6]   The collocation method based on a generalized inverse multiquadric basis for bound-state problems [J].
Hu, XG ;
Ho, TS ;
Rabitz, H .
COMPUTER PHYSICS COMMUNICATIONS, 1998, 113 (2-3) :168-179
[7]  
HU XG, IN PRESS PHYS REV A
[8]   PROPAGATION METHODS FOR QUANTUM MOLECULAR-DYNAMICS [J].
KOSLOFF, R .
ANNUAL REVIEW OF PHYSICAL CHEMISTRY, 1994, 45 :145-178
[9]  
Kosloff R, 1996, DYNAMICS MOL CHEM RE
[10]   A COMPARISON OF DIFFERENT PROPAGATION SCHEMES FOR THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].
LEFORESTIER, C ;
BISSELING, RH ;
CERJAN, C ;
FEIT, MD ;
FRIESNER, R ;
GULDBERG, A ;
HAMMERICH, A ;
JOLICARD, G ;
KARRLEIN, W ;
MEYER, HD ;
LIPKIN, N ;
RONCERO, O ;
KOSLOFF, R .
JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 94 (01) :59-80
12