Schrödinger Operators with Application to Quantum Mechanics and Global Geometry. With 2 Figures.

Cycon, Hans L., Richard G. Froese and Werner Kirsch:

ISBN 10: 3540167587 / ISBN 13: 9783540167587

Editore: Berlin, Heidelberg, New York, Tokyo: Springer-Verlag, 1987

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IX, 319 Seiten, Fadenheftung, Format 15,4 x 23,3 cm, originalkartonierter Einband (Texts and Monographs in Physics, Editors: Wolf Beiglböck, Joseph L. Birman, Robert Geroch, Elliott H. Lieb, Tullio Regge, Walter Thierring). * Zweite ISBN: 0-540-16758-7. Bibliography und Index auf den Seiten 301-319. Erhaltung: Keine Mängel und praktisch wie neu [Eine größere Sammlung Physik, Mathematik, Astronomie und verwandte Gebiete wird derzeit in den Bestand eingearbeitet. Sie finden diese Titel bei uns in den gleichnamigen Rubriken]. Sprache: Englisch.

Codice articolo 28495

Dati bibliografici

• Titolo: Schrödinger Operators with Application to Quantum Mechanics and Global Geometry. With 2 Figures.
• Editore: Berlin, Heidelberg, New York, Tokyo: Springer-Verlag
• Data di pubblicazione: 1987
• ISBN 10: 3540167587
• ISBN 13: 9783540167587
• Edizione: prima edizione
• Cataloghi dei venditori:
  • Physik

Descrizione articolo

Riassunto

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.