Lieb Studies in Mathematical Physics

Essays in Honor of Valentine Bargmann
1. Auflage 2015
ISBN: 978-1-4008-6894-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 476 Seiten

Reihe: Princeton Series in Physics

Some of the articles in this collection give up-to-date accounts of areas in mathematical physics to which Valentine Bargmann made pioneering contributions. The others treat a selection of the most interesting current topics in the field. The contributions include both reviews and original results.

Contents: The Inverse r-Squared Force (Henry D. I. Abarbanel; Certain Hilbert Spaces of Analytic Functions Associated with the Heisenberg Group (Donald Babbitt); Lower Bound for the Ground State Energy of the Schrodinger Equation Using the Sharp Form of Young's Inequality (John F. Barnes, Herm Jan Brascamp, and Elliott II. Lieb); Alternative Theories of Gravitation (Peter G. Bergmann; )Generalized Wronskian Relations (F. Calogero); Old and New Approaches to the Inverse-Scattering Problem (Freeman J. Dyson); A Family of Optimal Conditions for the Absence of Bound States in a Potential (V. Glaser, A. Martin, H. Grosse, and W. Thirring); Spinning Tops in External Fields (Sergio Hojman and Tullio Regge); Measures on the Finite Dimensional Subspaces of a Hilbert Space (Res Jost); The Froissart Bound and Crossing Symmetry (N. N. Khuri); Intertwining Operators for SL(n,R) (A. W. Knapp and E. M. Stein); Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relations to Sobolev Inequalities (Elliott H. Lieb and Walter Thirriny); On the Number of Bound States of Two Body Schrodinger Operators (Barry Simon); Quantum Dynamics: From Automorphism to Hamiltonian (Barry Simon); Semiclassical Analysis Illuminates the Connection between Potential and Bound States and Scattering (John Archibald Wheeler); Instability Phenomena in the External Field Problem for Two Classes of Relativistic Wave Equations (A. S. Wightman)

Originally published in 1976.

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Autoren/Hrsg.

Lieb, Elliott H.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Frontmatter, pg. i
Contents, pg. vii
Introduction, pg. ix
Publications, pg. xii
The Inverse r-Squared Force: An Introduction to Its Symmetries, pg. 1
Certain Hilbert Spaces of Analytic Functions Associated With the Heisenberg Group, pg. 19
Lower Bound for the Ground State Energy of the Schrodinger Equation Using the Sharp Form of Young's Inequality, pg. 83
Alternative Theories of Gravitation, pg. 91
Generalized Wronskian Relations: A Novel Approach to Bargmann-Equivalent and Phase-Equivalent Potentials, pg. 107
Old and New Approaches to the Inverse Scattering Problem, pg. 151
A Family of Optimal Conditions for the Absence of Bound States in a Potential, pg. 169
Spinning Tops in External Fields, pg. 195
Measures on the Finite Dimensional Subspaces of a Hilbert Space: Remarks to a Theorem, pg. 209
The Froissart Bound and Crossing Symmetry, pg. 229
Intertwining Operators for SL(n, R), pg. 239
Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities, pg. 269
On the Number of Bound States of Two Body Schrodinger Operators — A Review, pg. 305
Quantum Dynamics: From Automorphism to Hamiltonian, pg. 327
Semiclassical Analysis Illuminates the Connection Between Potential and Bound States and Scattering, pg. 351
Instability Phenomena in the External Field Problem for Two Classes of Relativistic Wave Equations, pg. 423