Schrödinger Operators: With Applications to Quantum Mechanics and Global Geometry
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Bibliographic Details
Main Author: Cycon, Hans L. 1942- (Author)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1987
Edition:2
Series:Theoretical,Mathematical Physics
Subjects:
Online Access:Volltext
Item Description: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
Physical Description:1 Online-Ressource (IX, 319 pp. 2 figs)
ISBN:9783540775225
9783540167587
ISSN:0172-5998
DOI:10.1007/978-3-540-77522-5

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