Introduction to Spectral Theory of Schrödinger Operators
by A. Pankov
Publisher: Vinnitsa State Pedagogical University 2006
Number of pages: 112
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.
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by Willard Miller - Academic Press
The book studies the role played by special function theory in the formalism of mathematical physics. It demonstrates that special functions which arise in mathematical models are dictated by symmetry groups admitted by the models.
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 T.H. Havelock - Cambridge University Press
Table of contents: Simple groups and group velocity; The velocity of light; The Kelvin method for wave groups; Illustrations of group analysis; Action of a prism upon white light; The flow of energy; Propagation of wavefronts with discontinuities.
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.