Introduction to Spectral Theory of Schrödinger Operators
by A. Pankov
Publisher: Vinnitsa State Pedagogical University 2006
Number of pages: 112
Description:
Contents: A bit of quantum mechanics; 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; Periodic Schroedinger operators; etc.
Download or read it online for free here:
Download link
(700KB, PDF)
Similar books
The Octonionsby John C. Baez - University of California
The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.
(22257 views)
Mathematical Physics: Problems and Solutionsby G. S. Beloglazov, et al. - Samara University Press
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.
(17433 views)
Little Magnetic Bookby 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.
(8843 views)
Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theoremby 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.
(12467 views)