Topics in Spectral Theory
by Vojkan Jaksic
Publisher: McGill University 2005
Number of pages: 79
Description:
The subject of these lecture notes is spectral theory of self-adjoint operators and some of its applications to mathematical physics. The main theme of the text is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis.
Download or read it online for free here:
Download link
(520KB, PDF)
Similar books
Physics, Topology, Logic and Computation: A Rosetta Stoneby 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.
(6013 views)
Clifford Algebra, Geometric Algebra, and Applicationsby Douglas Lundholm, Lars Svensson - arXiv
These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.
(9204 views)
Mathematics for Physics: A Guided Tour for Graduate Studentsby Michael Stone, Paul Goldbart - Cambridge University Press
This book provides a graduate-level introduction to the mathematics used in research in physics. It focuses on differential and integral equations, Fourier series, calculus of variations, differential geometry, topology and complex variables.
(13059 views)
Solitonsby 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.
(5231 views)