This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

The description of solids at a microscopic level is complex, involving the interaction of a
huge number of its constituents, such as ions or electrons. It is impossible to solve the …

The quantum nonlinear Schrödinger equation (one dimensional Bose gas) is considered.
Classification of representations of Yangians with highest weight vector permits us to …

We study the one-dimensional spin-1/2 Heisenberg chain with competing ferromagnetic
nearest-neighbor J 1 and antiferromagnetic next-nearest-neighbor J 2 exchange couplings …

Recent experiments on the S= 1 2 antiferromagnetic chain compound, Cu benzoate,
discovered an unexpected gap scaling as approximately the 2 3 power of an applied …

Using results on the scaling of energies with the size of the system and the principles of
conformal quantum field theory, we calculate the asymptotics of correlation functions for the …

We describe the zero-temperature phase diagram of a model of bosons, occupying sites of a
linear chain, which obey a hard-exclusion constraint: any two nearest-neighbor sites may …

7.1 Mathematical preliminaries 228 7.1. l'The center of Uq (s£(2))\228 7.1. 2 Finite-
dimensional irreps 229 7.1. 3 The co-adjoint action 231 7.1. 4 Intertwiners" 234 7.2 A family …

We review recent advances in the theoretical modelling of π-conjugated polymers. Our
emphasis is on quasi-one-dimensional π-electron models that include both electron-phonon …

In this paper we continue and extend a systematic study of plateaux in magnetization curves
of antiferromagnetic Heisenberg spin-1/2 ladders. We first review a bosonic field-theoretical …