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
Lie Systems: Theory, Generalisations, and Applicationsby J.F. Carinena, J. de Lucas - arXiv
Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping.
(4551 views)
Graph and Network Theory in Physics: A Short Introductionby Ernesto Estrada - arXiv
Text consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the Hubbard model. It follows the study of graph theory and statistical physics...
(4598 views)
Lectures on Three-Dimensional Elasticityby 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.
(4382 views)
Lectures on Nonlinear Waves And Shocksby Cathleen S. Morawetz - Tata Institute Of Fundamental Research
Introduction to certain aspects of gas dynamics concentrating on some of the most important nonlinear problems, important not only from the engineering or computational point of view but also because they offer great mathematical challenges.
(4357 views)