Published December 7, 2001
| Version v1
Journal article
Simple algorithm for factorized dynamics of the gn-automaton
- 1. Institute of Physics, University of Tokyo, Komaba, Tokyo (Japan)
- 2. Department of Applied Physics, National Defense Academy, Yokosuka (Japan)
Description
We present an elementary algorithm for the dynamics of recently introduced soliton cellular automata associated with quantum affine algebra Uq(gn) at q=0. For gn=A(1)n, the rule reproduces the ball-moving algorithm in Takahashi-Satsuma's box-ball system. For non-exceptional gn other than A(1)n, it is described as a motion of particles and anti-particles which undergo pair-annihilation and creation through a neutral bound state. The algorithm is formulated without using representation theory or crystal basis theory. (author)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 34
- Journal Issue
- 48
- Journal Page Range
- p. 10697-10705
- ISSN
- 0305-4470
Conference
- Title
- 4. SIDE meeting on symmetries and integrability of difference equations
- Dates
- 27 Nov - 1 Dec 2000
- Place
- Tokyo (Japan)
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 33024106
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S42: ENGINEERING;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ALGORITHMS; ANNIHILATION; AUTOMATION; BOUND STATE; FIELD ALGEBRA; MOTION; QUANTUM FIELD THEORY; SOLITONS
- Descriptors DEC
- FIELD THEORIES; INTERACTIONS; MATHEMATICAL LOGIC; PARTICLE INTERACTIONS; QUASI PARTICLES