Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

This book was conceived as a slim monograph, but grew to its present size as I attempted to
set down an account of two-dimensional lattice models in statistical mechanics, and how …

The behaviour of magnetic impurities in metals has posed problems to challenge the
condensed matter theorist over the past thirty years. This book deals with the concepts and …

The quantum inverse scattering method is a means of finding exact solutions of two-
dimensional models in quantum field theory and statistical physics (such as the sine-Go …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

Next to the harmonic oscillator and the Coulomb potential the class of two-body models with
point interactions is the only one where complete solutions are available. All mathematical …

We calculate, within the pseudopotential approximation, a one-dimensional scattering
amplitude and effective one-dimensional interaction potential for atoms confined …

We report the observation of a one-dimensional (1D) Tonks-Girardeau (TG) gas of bosons
moving freely in 1D. Although TG gas bosons are strongly interacting, they behave very …

2.1 The boson problem 10 2.1. 1 The с= 0 case 10 2.1. 2 The с= oo case 11 2.1. 3 Scattering
states of Bose particles with finite interaction 12 2.1. 4 Periodic boundary conditions 14 2.1 …