Energy Functions in Box Ball Systems

Details Energy Functions in Box Ball Systems Energy Functions in Box Ball Systems

1999-08-21

arxiv.org/abs/math/9908116v2

Mathematics

Quantum Algebra

15 pages, LaTeX2e: one paragraph replaced and reference added in Introduction, a paragraph added in Section 2.5, remark 2) aft

Scientific paper

10.1142/S0217751X00000616

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.

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