Studies in Integrable Quantum Lattice Models and Classical Hierarchies

TL;DR

This paper explores the connections between classical hierarchies and quantum lattice models, and derives new results in quantum lattice models, advancing understanding of integrable systems.

Contribution

It provides a comprehensive analysis linking classical and quantum integrable models and introduces new results in quantum lattice model theory.

Findings

Correlations between classical hierarchies and quantum models elucidated.

New results derived for quantum lattice models.

Enhanced understanding of integrable systems achieved.

Abstract

The following work is an exploration into certain topics in the broad world of integrable models, both classical and quantum, and consists of two main parts of roughly equal length. The first part, consisting of chapters 1-3, concerns itself mainly with correlations between results in classical hierarchies and quantum lattice models. The second part, consisting of chapters 4-6, deals almost entirely with deriving results concerned with quantum lattice models.