Search for dissertations about: "six-vertex model"

Found 2 swedish dissertations containing the words six-vertex model.

2. 1. A combinatorial description of certain polynomials related to the XYZ spin chain

   Author : Linnea Hietala; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; six-vertex model; eight-vertex SOS model; three-color model; domain wall boundary conditions; reflecting end; partition function; determinant formula; XYZ spin chain; alternating sign matrices; polynomials; positive coefficients;

   Abstract : The aim of this thesis is to study the connection between the three-color model and the polynomials q_n(z) of Bazhanov and Mangazeev. To give some background, we describe some exactly solvable, quantum integrable lattice models and their connections to each other and to other models. READ MORE

4. 2. Combinatorics of solvable lattice models with a reflecting end

   Author : Linnea Hietala; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; mathematics; mathematical physics; six-vertex model; eight-vertex SOS model; three-color model; reflecting end; domain wall boundary conditions; partition function; determinant formula; XYZ spin chain; alternating sign matrices; special polynomials; positive coefficients;

   Abstract : I den här avhandlingen studerar vi några exakt lösbara, kvantintegrerbara gittermodeller. Izergin bevisade en determinantformel för partitionsfunktionen till sexvertexmodellen på ett gitter av storlek n × n med Korepins domänväggrandvillkor (domain wall boundary conditions – DWBC). READ MORE