GENERALIZED PROPAGATION FORMULAS OF ARBITRARILY HIGH-ORDER

被引:14
作者
GLASNER, M
YEVICK, D
HERMANSSON, B
机构
[1] QUEENS UNIV,DEPT ELECT ENGN,KINGSTON K7L 3N6,ONTARIO,CANADA
[2] SWEDISH TELECOMMUN,S-12386 FARSTA,SWEDEN
关键词
D O I
10.1063/1.461306
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We present a procedure for expressing the exponential of the sum of any number of noncommutative operators each linear in a parameter-alpha as a product of the exponentials of the individual operators valid to a given order in alpha. These products then yield simple and easily programmed quantum-mechanical propagation techniques.
引用
收藏
页码:8266 / 8272
页数:7
相关论文
共 34 条
[1]   IMPROVED EXPONENTIAL SPLIT OPERATOR METHOD FOR SOLVING THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].
BANDRAUK, AD ;
SHEN, H .
CHEMICAL PHYSICS LETTERS, 1991, 176 (05) :428-432
[2]   THEORETICAL DESCRIPTION OF TRANSIENT STIMULATED RAMAN-SCATTERING IN OPTICAL FIBERS [J].
BLOW, KJ ;
WOOD, D .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1989, 25 (12) :2665-2673
[3]   FACTORIZATION OF CERTAIN EVOLUTION OPERATORS USING LIE-ALGEBRA - FORMULATION OF THE METHOD [J].
DEMIRALP, M ;
RABITZ, H .
JOURNAL OF MATHEMATICAL CHEMISTRY, 1991, 6 (02) :165-191
[4]  
DUMONT RS, 1981, J CHEM PHYS, V89, P5764
[5]  
FEIT MD, 1983, J CHEM PHYS, V78, P301, DOI 10.1063/1.444501
[6]   SOLUTION OF THE SCHRODINGER-EQUATION BY A SPECTRAL METHOD [J].
FEIT, MD ;
FLECK, JA ;
STEIGER, A .
JOURNAL OF COMPUTATIONAL PHYSICS, 1982, 47 (03) :412-433
[7]   HIGH-ORDER GENERALIZED PROPAGATION TECHNIQUES [J].
GLASNER, M ;
YEVICK, D ;
HERMANSSON, B .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1991, 8 (02) :413-415
[8]   6TH-ORDER GENERALIZED PROPAGATION TECHNIQUES [J].
GLASNER, M ;
YEVICK, D ;
HERMANSSON, B .
ELECTRONICS LETTERS, 1991, 27 (05) :475-478
[9]   COMPUTER GENERATED GENERALIZED PROPAGATION TECHNIQUES [J].
GLASNER, M ;
YEVICK, D ;
HERMANSSON, B .
APPLIED MATHEMATICS LETTERS, 1991, 4 (05) :85-90
[10]   GENERALIZED PROPAGATION TECHNIQUES - APPLICATION TO SEMICONDUCTOR RIB WAVE-GUIDE Y-JUNCTIONS [J].
HERMANSSON, B ;
YEVICK, D .
IEEE PHOTONICS TECHNOLOGY LETTERS, 1990, 2 (10) :738-740