Quantum Spin Systems on Infinite Lattices
by Pieter Naaijkens
Publisher: arXiv 2013
Number of pages: 90
Description:
These are the lecture notes for a one semester course at Leibniz University Hannover. The main aim of the course is to give an introduction to the mathematical methods used in describing discrete quantum systems consisting of infinitely many sites. Such systems can be used, for example, to model some materials in condensed matter physics or lattice gases.
Download or read it online for free here:
Download link
(890KB, PDF)
Similar books

by Laszlo Erdos - arXiv
Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.
(10317 views)

by B. Eynard - arXiv.org
This is an introductory course about random matrices. These notes will give the reader a smell of that fascinating tool for physicists and mathematicians that are Random Matrices, and they can give the envy to learn and search more.
(11949 views)

by John C. Baez, Mike Stay - arXiv
There is extensive network of analogies between physics, topology, logic and computation. In this paper we make these analogies precise using the concept of 'closed symmetric monoidal category'. We assume no prior knowledge of category theory.
(11925 views)

by P. G. Ciarlet - Tata Institute of Fundamental Research
In this book a non-linear system of partial differential equations will be established as a mathematical model of elasticity. An energy functional will be established and existence results will be studied in the second chapter.
(10343 views)