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Bethe Ansatz and the geography of rigged strings

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Lulek T.

Banach Center Publications

2007

tom 78

nr 1

231-247

We demonstrate the way in which composition of two famous combinatorial bijections, of Robinson-Schensted and Kerov-Kirillov-Reshetikhin, applied to the Heisenberg model of magnetic ring with spin 1/2, defines the geography of rigged strings (which label exact eigenfunctions of the Bethe Ansatz) on the classical configuration space (the set of all positions of the system of r reversed spins). We point out that each l-string originates, in the language of this bijection, from an island of l consecutive reversed spins. We also explain travel of l-strings along orbits of the translation group of the ring.

Ograniczanie wyników

1 Banach Center Publications

1 Lulek T.

1 2007

Wyniki wyszukiwania

Bethe Ansatz and the geography of rigged strings