Schrödinger Operators: With Applications to Quantum Mechanics and Global Geometry (Theoretical and Mathematical Physics) - Softcover

Cycon, Hans L. L.; Froese, Richard G.; Kirsch, Werner; Simon, Barry

Softcover

ISBN 10: 3540167587 ISBN 13: 9783540167587

Publisher: Springer, 1987

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 1987
• Language: English
• ISBN 10: 3540167587
• ISBN 13: 9783540167587
• Binding: Paperback
• Number of pages: 340