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Schrödinger operators, with applications to quantum mechanics and global geometry /

A complete understanding of Schrdinger 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 student...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Cycon, H. L. (Hans Ludwig), 1942-, Simon, Barry, 1946-, Beiglböck, E., 1939-
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1987]
Series:Texts and monographs in physics.
Subjects:
Schrödinger operator.
Quantum theory.
Global differential geometry.
Schrödinger, Opérateur de.
Théorie quantique.
Géométrie différentielle globale.
Geometrie.
Globale Differentialgeometrie.
Globale Riemannsche Geometrie.
Hamilton-Operator.
Quantenmechanik.
Quantentheorie.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:A complete understanding of Schrdinger 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 Schrdinger 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, Schrdinger operators with random and almost periodic potentials and, finally, Schrdinger operator methods in differential geometry to prove the Morse inequalities and the index theorem.
Item Description:Chapters 1-11 are revised notes taken from a summer course given in 1982 in Thurnau, West Germany by Barry Simon.
"Springer study edition"--Page 2 of cover.
Electronic resource.
Physical Description:1 online resource (ix, 319 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages 301-314) and index.
ISBN:9783540775225 (electronic bk.)
3540775226 (electronic bk.)