**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

**Floer Homology, Gauge Theory, and Low Dimensional Topology**

by

**David Ellwood, at al.**-

**American Mathematical Society**

Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.

(

**7736**views)

**Special Functions and Their Symmetries: Postgraduate Course in Applied Analysis**

by

**Vadim Kuznetsov, Vladimir Kisil**-

**University of Leeds**

This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.

(

**9913**views)

**Theoretical Physics**

by

**W. Wilson**-

**Dutton**

The purpose of the present work is to present an account of the theoretical side of physics which, without being too elaborate, will be sufficiently comprehensive to be useful to teachers and students. This volume deals with mechanics and heat.

(

**5535**views)

**Random Matrix Models and Their Applications**

by

**Pavel Bleher, Alexander Its**-

**Cambridge University Press**

The book covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems.

(

**10877**views)