Quantum Spin Systems on Infinite Lattices
by Pieter Naaijkens
Publisher: arXiv 2013
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.
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by David Tong - University of Cambridge
These lectures cover aspects of solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The lectures consist of four sections, each dealing with a different soliton.
A book on common techniques of applied mathematics that are often used in theoretical physics. It may be accessible to anyone with beginning undergraduate training in mathematics and physics. It is useful for anyone wishing to study advanced Physics.
by Alex Madon - Wikibooks
The goal of this book is to propose an ensemble view of modern physics. The coherence between various fields of physics is insured by following two axes: a first is the universal mathematical language; the second is the study of the N body problem.
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Starting from Brownian Motion, the lectures quickly got into the areas of Stochastic Differential Equations and Diffusion Theory. The section on Martingales is based on additional lectures given by K. Ramamurthy of the Indian Institute of Science.