22 citations · 22 across the 1 of their papers we have counts for
7 papers
Higher conservation laws for the quantum non-linear Schroedinger equation
B. Davies, V. E. Korepin
Quantum non-linear SCHROEDINGER equation is equivalent to Lieb-Liniger model. It has non-trivial conservation laws. Recently these conservation laws were used for evaluation of the…
Linear and optimal nonlinear control of one-dimensional maps
Justin McGuire, Murray T. Batchelor, Brian Davies
We investigate the effects of linear and optimal nonlinear control in the simple case of one-dimensional unimodal maps. We show that linear feedback relates unimodal maps to invert…
A unified treatment of Ising model magnetizations
Brian Davies, Ingo Peschel
We show how the spontaneous bulk, surface and corner magnetizations in the square lattice Ising model can all be obtained within one approach. The method is based on functional equ…
Excitation Spectra of Spin Models constructed from Quantized Affine Algebras of type ,
Brian Davies, Masato Okado
The energy and momentum spectrum of the spin models constructed from the vector representation of the quantized affine algebras of type $\B$ and $\D$ are computed using the approac…
Infinite dimensional symmetry of corner transfer matrices
Brian Davies
We review some of the recent developments in two dimensional statistical mechanics in which corner transfer matrices provide the vital link between the physical system and the repr…
Quantum Loop Modules and Quantum Spin Chains
D. Altschuler, B. Davies
We construct level-0 modules of the quantum affine algebra $\Uq$, as the -deformed version of the Lie algebra loop module construction. We give necessary and sufficient conditio…