Theoretical and Mathematical Physics

Schrödinger Operators

With Applications to Quantum Mechanics and Global Geometry

Authors: Cycon, H.L., Froese, R.G., Kirsch, W., Simon, B.

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About this book

A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling the physics of nonrelativistic quantum mechanics. Furthermore recent research shows that it also helps to deepen our insight into global differential geometry. This monograph written for both graduate students and researchers summarizes and synthesizes the theory of Schrödinger operators emphasizing the progress made in the last decade by Lieb, Enss, Witten and others. Besides general properties, the book covers, in particular, multiparticle quantum mechanics including bound states of Coulomb systems and scattering theory, quantum mechanics in constant electric and magnetic fields, Schrödinger operators with random and almost periodic potentials and, finally, Schrödinger operator methods in differential geometry to prove the Morse inequalities and the index theorem.

This corrected and extended reprint contains updated proofs and references as well as notes on the development in the field over the past twenty years.

Table of contents (12 chapters)

Buy this book

Softcover $99.99
price for USA
  • ISBN 978-3-540-16758-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Schrödinger Operators
Book Subtitle
With Applications to Quantum Mechanics and Global Geometry
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
1987
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer Berlin Heidelberg
Softcover ISBN
978-3-540-16758-7
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XI, 329
Topics