Bethe Ansatz and the geography of rigged strings

• Autorzy: Tadeusz Lulek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20C30: Representations of finite symmetric groups
• 70G10: Generalized coordinates; event, impulse-energy, configuration, state, or phase space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 78
• Numer: 1
• Strony: 231-247

Daty

wydano

2007

Twórcy

autor

Tadeusz Lulek

• Rzeszów University of Technology, Powstańców Warszawy 6, 35-959 Rzeszów, Poland

Identyfikatory

DOI

10.4064/bc78-0-17