Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Theoretical and Mathematical Physics (TMP)
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Keywords
- Geometry
- Operator Theory
- Quantum Mechanics
- Schrödinger Operators
- Spectral Analysis
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.
Bibliographic Information
Book Title: Schrödinger Operators
Book Subtitle: With Applications to Quantum Mechanics and Global Geometry
Authors: Hans L. Cycon, Richard G. Froese, Werner Kirsch, Barry Simon
Series Title: Theoretical and Mathematical Physics
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer Berlin Heidelberg 1987
Softcover ISBN: 978-3-540-16758-7Published: 06 March 1987
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XI, 329