Quantum Spin Systems on Infinite Lattices

Small book cover: Quantum Spin Systems on Infinite Lattices

Quantum Spin Systems on Infinite Lattices

Publisher: arXiv
Number of pages: 90

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.

Home page url

Download or read it online for free here:
Download link
(890KB, PDF)

Similar books

Book cover: Tensor Techniques in Physics: a concise introductionTensor Techniques in Physics: a concise introduction
by - Learning Development Institute
Contents: Linear vector spaces; Elements of tensor algebra; The tensor calculus (Volume elements, tensor densities, and volume integrals); Applications in Relativity Theory (Elements of special relativity, Tensor form of Maxwell's equations).
Book cover: Introduction to Quantum IntegrabilityIntroduction to Quantum Integrability
by - arXiv
The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. A short review on quantum groups as well as the quantum inverse scattering method is also presented.
Book cover: Lectures on Integrable Hamiltonian SystemsLectures on Integrable Hamiltonian Systems
by - arXiv
We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. This is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and systems with time-dependent parameters.
Book cover: Physics, Topology, Logic and Computation: A Rosetta StonePhysics, Topology, Logic and Computation: A Rosetta Stone
by - 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.