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Solvable Models in Quantum Mechanics

S. Albeverio, F. Gesztesy, R. Høegh-Krohn, and H. Holden
Publisher: 
American Mathematical Society Chelsea
Publication Date: 
2005
Number of Pages: 
484
Format: 
Hardcover
Price: 
69.00
ISBN: 
0-8218-3624-2
Category: 
General
We do not plan to review this book.
* Introduction

The one-center point interaction

* The one-center point interaction in three dimensions
* Coulomb plus one-center point interaction in three dimensions
* The one-center $\delta$-interaction in one dimension
* The one-center $\delta$'-interaction in one dimension
* The one-center point interaction in two dimensions

Point interactions with a finite number of centers

* Finitely many point interactions in three dimensions
* Finitely many $\delta$-interactions in one dimension
* Finitely many $\delta$'-interactions in one dimension
* Finitely many point interactions in two dimensions

Point interactions with infinitely many centers

* Infinitely many point interactions in three dimensions
* Infinitely many $\delta$-interactions in one dimension
* Infinitely many $\delta$'-interactions in one dimension
* Infinitely many point interactions in two dimensions
* Random Hamiltonians with point interactions

Appendices

* Self-adjoint extensions of symmetric operators
* Spectral properties of Hamiltonians defined as quadratic forms
* Schr”dinger operators with interactions concentrated around infinitely many centers
* Boundary conditions for Schr”dinger operators on $(0,\infty)$
* Time-dependent scattering theory for point interactions
* Dirichlet forms for point interactions
* Point interactions and scales of Hilbert spaces
* Nonstandard analysis and point interactions
* Elements of probability theory
* Relativistic point interactions in one dimension
* References
* Author Index
* Subject Index
* Seize ans aprÅ s
* Bibliography
* Errata and addenda

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