Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann

Published by Princeton University Press 1976

Studies in Mathematical Physics

Essays in Honor of Valentine Bargmann

Edited by: Elliott H. Lieb

Volume 58 in the series Princeton Series in Physics

In the series Princeton Legacy Library

https://doi.org/10.1515/9781400868940

Overview
Contents

About this book

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.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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Frontmatter Publicly Available Download PDF	i
Contents Publicly Available Download PDF	vii
Introduction Requires Authentication Unlicensed Licensed Download PDF	ix
Publications Requires Authentication Unlicensed Licensed Download PDF	xii
The Inverse r-Squared Force: An Introduction to Its Symmetries Henry D. I. Abarbanel Requires Authentication Unlicensed Licensed Download PDF	1
Certain Hilbert Spaces of Analytic Functions Associated With the Heisenberg Group Donald Babbitt Requires Authentication Unlicensed Licensed Download PDF	19
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 H. Lieb Requires Authentication Unlicensed Licensed Download PDF	83
Alternative Theories of Gravitation Peter G. Bergmann Requires Authentication Unlicensed Licensed Download PDF	91
Generalized Wronskian Relations: A Novel Approach to Bargmann-Equivalent and Phase-Equivalent Potentials F. Calogero Requires Authentication Unlicensed Licensed Download PDF	107
Old and New Approaches to the Inverse Scattering Problem Freeman J. Dyson Requires Authentication Unlicensed Licensed Download PDF	151
A Family of Optimal Conditions for the Absence of Bound States in a Potential V. Glaser, A. Martin, H. Grosse and W. Thirring Requires Authentication Unlicensed Licensed Download PDF	169
Spinning Tops in External Fields Sergio Hojman and Tullio Regge Requires Authentication Unlicensed Licensed Download PDF	195
Measures on the Finite Dimensional Subspaces of a Hilbert Space: Remarks to a Theorem A. M. Gleason and Res Jost Requires Authentication Unlicensed Licensed Download PDF	209
The Froissart Bound and Crossing Symmetry N. N. Khuri Requires Authentication Unlicensed Licensed Download PDF	229
Intertwining Operators for SL(n, R) A. W. Knapp and Ε. M. Stein Requires Authentication Unlicensed Licensed Download PDF	239
Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities Elliott H. Lieb and Walter E. Thirring Requires Authentication Unlicensed Licensed Download PDF	269
On the Number of Bound States of Two Body Schrodinger Operators — A Review Barry Simon Requires Authentication Unlicensed Licensed Download PDF	305
Quantum Dynamics: From Automorphism to Hamiltonian Barry Simon Requires Authentication Unlicensed Licensed Download PDF	327
Semiclassical Analysis Illuminates the Connection Between Potential and Bound States and Scattering John Archibald Wheeler Requires Authentication Unlicensed Licensed Download PDF	351
Instability Phenomena in the External Field Problem for Two Classes of Relativistic Wave Equations A. S. Wightman Requires Authentication Unlicensed Licensed Download PDF	423