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Schrödinger Operators
With Applications to Quantum Mechanics and Global Geometry
Taschenbuch von Hans L. Cycon (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
Self-Adjointness.- Lp-Properties of Eigenfunctions, and All That.- Geometric Methods for Bound States.- Local Commutator Estimates.- Phase Space Analysis of Scattering.- Magnetic Fields.- Electric Fields.- Complex Scaling.- Random Jacobi Matrices.- Almost Periodic Jacobi Matrices.- Witten's Proof of the Morse Inequalities.- Patodi's Proof of the Gauss-Bonnet-Chern Theorem and Superproofs of Index Theorems.- Bibliography.- List of Symbols.- Subject Index.
Details
Erscheinungsjahr: 1987
Fachbereich: Elektrizität/Magnetismus/Optik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 344
Reihe: Theoretical and Mathematical Physics
Inhalt: xi
329 S.
2 Illustr.
ISBN-13: 9783540167587
ISBN-10: 3540167587
Sprache: Englisch
Herstellernummer: 10344977
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Cycon, Hans L.
Simon, Barry
Kirsch, Werner
Froese, Richard G.
Auflage: 1987
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Theoretical and Mathematical Physics
Maße: 235 x 155 x 19 mm
Von/Mit: Hans L. Cycon (u. a.)
Erscheinungsdatum: 06.03.1987
Gewicht: 0,522 kg
preigu-id: 104963482
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
Self-Adjointness.- Lp-Properties of Eigenfunctions, and All That.- Geometric Methods for Bound States.- Local Commutator Estimates.- Phase Space Analysis of Scattering.- Magnetic Fields.- Electric Fields.- Complex Scaling.- Random Jacobi Matrices.- Almost Periodic Jacobi Matrices.- Witten's Proof of the Morse Inequalities.- Patodi's Proof of the Gauss-Bonnet-Chern Theorem and Superproofs of Index Theorems.- Bibliography.- List of Symbols.- Subject Index.
Details
Erscheinungsjahr: 1987
Fachbereich: Elektrizität/Magnetismus/Optik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 344
Reihe: Theoretical and Mathematical Physics
Inhalt: xi
329 S.
2 Illustr.
ISBN-13: 9783540167587
ISBN-10: 3540167587
Sprache: Englisch
Herstellernummer: 10344977
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Cycon, Hans L.
Simon, Barry
Kirsch, Werner
Froese, Richard G.
Auflage: 1987
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Theoretical and Mathematical Physics
Maße: 235 x 155 x 19 mm
Von/Mit: Hans L. Cycon (u. a.)
Erscheinungsdatum: 06.03.1987
Gewicht: 0,522 kg
preigu-id: 104963482
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