Topics in Spectral Theory
by Vojkan Jaksic
Publisher: McGill University 2005
Number of pages: 79
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.
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by Nicolas Raymond - arXiv
'Little Magnetic Book' is devoted to the spectral analysis of the magnetic Laplacian in various geometric situations. In particular the influence of the geometry on the discrete spectrum is analysed in many asymptotic regimes.
by Mario Argeri, Pierpaolo Mastrolia - arXiv
The authors review the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the technique, we discuss its application in the context of corrections to the photon propagator in QED.
by A. Pankov - Vinnitsa State Pedagogical University
Contents: Operators in Hilbert spaces; Spectral theorem of self-adjoint operators; Compact operators and the Hilbert-Schmidt theorem; Perturbation of discrete spectrum; Variational principles; One-dimensional Schroedinger operator; etc.
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The present Proceedings is intended to be used by the students of physical and mechanical-mathematical departments of the universities, who are interested in acquiring a deeper knowledge of the methods of mathematical and theoretical physics.