School Seminars and Colloquia

PhD Seminar: New results on the one-dimensional Heisenberg magnet

Colloquium

by Michael Wheeler


Institution: Mathematics and Statistics, University of Melbourne
Date: Tue 18th May 2010
Time: 12:00 PM
Location: Russell Love Theatre, Richard Berry Bldg, The Uni of Melb

Abstract: The one-dimensional Heisenberg magnet was introduced in 1928 as
a model for a chain of interacting spin-1/2 particles. Although the
eigenstates of this model were found by Bethe as early as 1931, the
Heisenberg magnet continues to be a widely studied quantum integrable
system. One important area of study is the calculation of inner products
between eigenstates and more general states of this model. In this talk I
will discuss some of the methods appearing in my thesis for calculating
such inner products. I will show that certain special inner products
provide solutions to the infinite set of partial differential equations which comprise the Kadomtsev-Petviashvili hierarchy, providing a new link between quantum and classical integrable models.

For More Information: Contact Paul Pearce (P.Pearce@ms.unimelb.edu.au) or Paul Norbury (P.Norbury@ms.unimelb.edu.au)

Colloquium Website