Research Catalog

Title

Solvable models in quantum mechanics / S. Albeverio [and others] ; with an appendix written by Pavel Exner.

Publication

Providence, R.I. : AMS Chelsea Pub., 2005.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Exner, Pavel, 1946-
• Albeverio, Sergio.

Description

xiv, 488 pages : illustrations; 27 cm

Uniform Title

Solvable models in quantum mechanics.

Subject

• Quantum theory > Mathematical models

Note

• Rev. ed. of: Solvable models in quantum mechanics. c1988.

Bibliography (note)

• Includes bibliographical references (p. 413-439) and index.

Contents

Pt. I. The one-center point interaction -- Ch. I.1. The one-center point interaction in three dimensions -- Ch. I.2. Coulomb plus one-center point interaction in three dimensions -- Ch. I.3. The one-center [delta]-interaction in one dimension -- Ch. I.4. The one-center [delta]'-interaction in one dimension -- Ch. I.5. The one-center point interaction in two dimensions -- Pt. II. Point interactions with a finite number of centers -- Ch. II.1. Finitely many point interactions in three dimensions -- Ch. II.2. Finitely many [delta]-interactions in one dimension -- Ch. II.3. Finitely many [delta]'-interactions in one dimension -- Ch. II.4. Finitely many point interactions in two dimensions -- Pt. III. Point interactions with infinitely many centers -- Ch. III.1. Infinitely many point interactions in three dimensions -- Ch. III.2. Infinitely many [delta]-interactions in one dimension -- Ch. III.3. Infinitely many [delta]'-interactions in one dimension -- Ch. III.4. Infinitely many point interactions in two dimensions -- Ch. III.5. Random Hamiltonians with point interactions -- App. A. Self-adjoint extensions of symmetric operators -- App. B. Spectral properties of Hamiltonians defined as quadratic forms -- App. C. Schrodinger operators with interactions concentrated around infinitely many centers -- App. D. Boundary conditions for Schrodinger operators on (0, [infinity]) -- App. E. Time-dependent scattering theory for point interactions -- App. F. Dirichlet forms for point interactions -- App. G. Point interactions and scales of Hilbert spaces -- App. H. Nonstandard analysis and point interactions -- App. I. Elements of probability theory -- App. J. Relativistic point interactions in one dimension.

ISBN

0821836242 (alk. paper)

LCCN

2004057452

OCLC

• ocm56613962
• SCSB-5151712

Owning Institutions

Columbia University Libraries