Logo

Introduction to Spectral Theory of Schrödinger Operators

Small book cover: Introduction to Spectral Theory of Schrödinger Operators

Introduction to Spectral Theory of Schrödinger Operators
by

Publisher: Vinnitsa State Pedagogical University
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

Book cover: A Window into Zeta and Modular PhysicsA Window into Zeta and Modular Physics
by - Cambridge University Press
This book provides an introduction, with applications, to three interconnected mathematical topics: zeta functions in their rich variety; modular forms; vertex operator algebras. Applications of the material to physics are presented.
(6806 views)
Book cover: Invariance Theory, the Heat Equation and the Atiyah-Singer Index TheoremInvariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem
by - 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.
(6732 views)
Book cover: Feynman Diagrams and Differential EquationsFeynman Diagrams and Differential Equations
by - 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.
(9489 views)
Book cover: Mathematical Physics IIMathematical Physics II
by - SISSA
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
(12411 views)