Princeton Series in Physics

Essays in Honor of Valentine Bargmann

Elliott H. Lieb, Elliott H. Lieb, Elliott Lieb

• Publisher: Princeton University Press
• Year: 2015
• ISBN:
  9781400868940
• Topic: Physical Sciences
• Subtopic: Mathematical & Computational 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.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.

Table of contents

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