83 citations · 86 across the 5 of their papers we have counts for
5 papers
The Structure of Integrable One-Dimensional Systems
Bill Sutherland
We explain the relationship between the classical description of an integrable system in terms of invariant tori and action-angle variables, and the quantum description in terms of…
Bandgap Extremization: Some Exact Results
Prabasaj Paul, Bill Sutherland
We present here a variational method for maximizing the bandgap in a one-dimensional system where the potential is subject to given constraints. Two specific examples are studied i…
Exact Derivation of Luttinger Liquid Relation in a One-Dimensional Two-Component Quantum System with Hyperbolic Interactions
Rudolf A. Römer, Bill Sutherland
We present an exact calculation of the Luttinger liquid relation for the one-dimensional, two-component SC model in the interaction strength range by appropriately varying…
Conformal Invariance in Periodic Quantum Chains
Rudolf A. R"omer, Bill Sutherland
We show how conformal invariance predicts the functional form of two-point correlators in one-dimensional periodic quantum systems. Numerical evidence for this functional form in a…
Super Lax Pairs and Infinite Symmetries in The System
B. Sriram Shastry, Bill Sutherland
We present an algebraic structure that provides an interesting and novel link between supersymmetry and quantum integrability. This structure underlies two classes of models that a…