INTEGRABLE QUANTUM MAPPINGS

被引:27
作者
NIJHOFF, FW
CAPEL, HW
PAPAGEORGIOU, VG
机构
[1] CLARKSON UNIV, INST NONLINEAR STUDIES, POTSDAM, NY 13699 USA
[2] UNIV AMSTERDAM, INST THEORET FYS, 1018 XE AMSTERDAM, NETHERLANDS
来源
PHYSICAL REVIEW A | 1992年 / 46卷 / 04期
关键词
D O I
10.1103/PhysRevA.46.2155
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A quantum R-matrix structure is presented for a family of exactly integrable multidimensional rational mappings related to lattice versions of the Korteweg-de Vries equation. It is shown that these mappings possess a commuting family of invariants.
引用
收藏
页码:2155 / 2158
页数:4
相关论文
共 59 条
[1]  
ABLOWITZ MJ, 1977, STUD APPL MATH, V57, P1
[2]  
ABLOWITZ MJ, 1976, STUD APPL MATH, V55, P213
[3]  
[Anonymous], 1989, CHAOS INTEGRABILITY
[4]   GRADED R-MATRICES FOR INTEGRABLE SYSTEMS [J].
AVAN, J ;
TALON, M .
NUCLEAR PHYSICS B, 1991, 352 (01) :215-249
[5]   EXTENDED CONFORMAL ALGEBRA AND THE YANG-BAXTER EQUATION [J].
BABELON, O .
PHYSICS LETTERS B, 1988, 215 (03) :523-529
[6]   QUANTUM TODA THEORY [J].
BABELON, O ;
BONORA, L .
PHYSICS LETTERS B, 1991, 253 (3-4) :365-372
[7]   HAMILTONIAN STRUCTURES AND LAX EQUATIONS [J].
BABELON, O ;
VIALLET, CM .
PHYSICS LETTERS B, 1990, 237 (3-4) :411-416
[8]   EXCHANGE FORMULA AND LATTICE DEFORMATION OF THE VIRASORO ALGEBRA [J].
BABELON, O .
PHYSICS LETTERS B, 1990, 238 (2-4) :234-238
[9]   MICROSCOPIC AND MACROSCOPIC LOOPS IN NONPERTURBATIVE 2-DIMENSIONAL GRAVITY [J].
BANKS, T ;
DOUGLAS, MR ;
SEIBERG, N ;
SHENKER, SH .
PHYSICS LETTERS B, 1990, 238 (2-4) :279-286
[10]   QUANTUM MAPS [J].
BERRY, MV ;
BALAZS, NL ;
TABOR, M ;
VOROS, A .
ANNALS OF PHYSICS, 1979, 122 (01) :26-63