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Theoretical and Mathematical Physics

Schrödinger Operators

With Application to Quantum Mechanics and Global Geometry

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

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  • 2nd updated edition of a classic book. Written by the leading researchers in the field.

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  • ISBN 978-3-540-77522-5
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About this Textbook

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 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.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-540-77522-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Schrödinger Operators
Book Subtitle
With Application to Quantum Mechanics and Global Geometry
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
1987
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-77522-5
DOI
10.1007/978-3-540-77522-5
Series ISSN
1864-5879
Edition Number
1
Number of Pages
IX
Number of Illustrations
2 b/w illustrations
Topics