Spectral Gap in the Ferromagnetic Heisenberg Spin-1⁄2 Quantum Spin Chain
Publisher
The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
The ferromagnetic Heisenberg spin-1⁄2 quantum spin chain describes a quantum spin system of spin-1⁄2 particles on a one-dimensional lattice. In the thermodynamic limit, the spectral gap of this system closes at rate of O(n−2). We demonstrate this by proving an upper bound on the spectral gap using the variational principle and a lower bound using the martingale method.Type
textElectronic Thesis
Degree Name
B.S.Degree Level
bachelorsDegree Program
Honors CollegeMathematics