**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

**Solitons**

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.

(

**5944**views)

**Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem**

by

**Peter B. Gilkey**-

**Publish or Perish Inc.**

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas and the Gauss-Bonnet theorem.

(

**6478**views)

**Lie Groups in Physics**

by

**G. 't Hooft, M. J. G. Veltman**-

**Utrecht University**

Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.

(

**10565**views)

**Lecture Notes on Quantum Brownian Motion**

by

**Laszlo Erdos**-

**arXiv**

Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.

(

**5607**views)