ENERGY FUNCTIONS IN BOX BALL SYSTEMS-Reference-Cited by-同舟云学术

ENERGY FUNCTIONS IN BOX BALL SYSTEMS

Published:2000-04-10 Issue:09 Volume:15 Page:1379-1392
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

FUKUDA KAORI¹,YAMADA YASUHIKO¹,OKADO MASATO²

Affiliation:

1. Department of Mathematics, Faculty of Science, Kobe University, Rokko, Kobe 657-8501, Japan

2. Department of Informatics and Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan

Abstract

The box ball system is studied in the crystal theory formulation. New conserved quantities and the phase shift of the soliton scattering are obtained by considering the energy function (or H function) in the combinatorial R matrix.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X00000616

Reference8 articles.

1. Crystallization of the Bogoyavlensky Lattice

2. AFFINE CRYSTALS AND VERTEX MODELS

3. On crystal bases of the Q-analogue of universal enveloping algebras

4. Toda-type cellular automaton and its N-soliton solution

5. Kostka polynomials and energy functions in solvable lattice models

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