Solvable Models in Quantum Mechanics
By: by Sergio Albeverio, Friedrich Gesztesy, Raphael Høegh-Krohn, Helge Holden
Contributors: Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
Series: Texts and Monographs in Physics; Texts and Monographs in Physics
Publisher: Springer Berlin Heidelberg
Published: 1988
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 452
ISBN-13: 9783642882036; 9783642882012
Subjects: Quantum theory; Physics
Description: Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.
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Table of contents: title: Introduction; title: The One-Center Point Interaction; title: Point Interactions with a Finite Number of Centers; title: Point Interactions with Infinitely Many Centers; title: Appendices; title: References; title: Index.