COMPUTER GENERATED GENERALIZED PROPAGATION TECHNIQUES

被引：8

作者：

GLASNER, M

YEVICK, D

HERMANSSON, B

机构：

[1] PENN STATE UNIV,DEPT MATH,UNIVERSITY PK,PA 16802

[2] QUEENS UNIV,DEPT ELECT ENGN,KINGSTON K7L 3N6,ONTARIO,CANADA

[3] SWEDISH TELECOMMUN,S-12386 FARSTA,SWEDEN

来源：

APPLIED MATHEMATICS LETTERS | 1991年 / 4卷 / 05期

关键词：

D O I：

10.1016/0893-9659(91)90152-L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop methods for approximating the exponential of the sum of any number of noncommutative operators each linear in a parameter-alpha by a product of exponentials of the individual operators to a given order in alpha. In particular, we implement a symbolic manipulation program which locates products with a minimal number of operators. Such expressions are associated with highly efficient field propagation techniques.

引用

页码：85 / 90

页数：6

共 15 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]

Burstein S. Z., 1970, J COMPUT PHYS, V5, P547, DOI [10.1016/0021-9991(70)90080-X, DOI 10.1016/0021-9991(70)90080-X]

[4] PRODUCT FORMULA ALGORITHMS FOR SOLVING THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].

DERAEDT, H .

COMPUTER PHYSICS REPORTS, 1987, 7 (01) :1-72

[5] NEW RESULTS ON TROTTER-LIKE APPROXIMATIONS [J].

FYE, RM .

PHYSICAL REVIEW B, 1986, 33 (09) :6271-6280

[6] 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

[7] 6TH-ORDER GENERALIZED PROPAGATION TECHNIQUES [J].

GLASNER, M ;

YEVICK, D ;

HERMANSSON, B .

ELECTRONICS LETTERS, 1991, 27 (05) :475-478

[8] 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

[9]

HERMANSSON B, 1991, OPT LETT, V6, P354

[10] HIGH-ORDER CORRECTION TO THE TROTTER EXPANSION FOR USE IN COMPUTER-SIMULATION [J].

LI, XP ;

BROUGHTON, JQ .

JOURNAL OF CHEMICAL PHYSICS, 1987, 86 (09) :5094-5100

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