Publisher:

American Mathematical Society Chelsea

Number of Pages:

484

Price:

69.00

ISBN:

0-8218-3624-2

Date Received:

Wednesday, December 1, 2004

Reviewable:

No

Reviewer Email Address:

Publication Date:

2005

Format:

Hardcover

Category:

General

* 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

* Schrâ€dinger operators with interactions concentrated around infinitely many centers

* Boundary conditions for Schrâ€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

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

* Schrâ€dinger operators with interactions concentrated around infinitely many centers

* Boundary conditions for Schrâ€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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Sunday, October 12, 2008

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