Schrödinger Operators With Application to Quantum Mechanics and Global Geometry

Schrödinger Operators With Application to Quantum Mechanics and Global Geometry / by Hans L. Cycon, Richard G. Froese, Werner Kirsch, Barry Simon.

A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it also helps to deepen our insight into global differential geometry. This monograph written for both graduate studen...

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Bibliographic Details
Main Authors: Cycon, Hans L. (Author), Froese, Richard G. (Author), Kirsch, Werner (Author), Simon, Barry (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1987.
Edition:1st ed. 1987.
Series:Theoretical and Mathematical Physics,
Springer eBook Collection.
Subjects:
Quantum physics.
Quantum computers.
Spintronics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Self-Adjointness
  • Lp-Properties of Eigenfunctions, and All That
  • Geometric Methods for Bound States
  • Local Commutator Estimates
  • Phase Space Analysis of Scattering
  • Magnetic Fields
  • Electric Fields
  • Complex Scaling
  • Random Jacobi Matrices
  • Almost Periodic Jacobi Matrices
  • Witten’s Proof of the Morse Inequalities
  • Patodi’s Proof of the Gauss-Bonnet-Chern Theorem and Superproofs of Index Theorems.

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