Studies in Mathematical Physics

Essays in Honor of Valentine Bargmann

Elliott H. Lieb, Elliott Lieb

• Publisher: Princeton University Press
• Year: 2015
• Print ISBN: 9780691081854, 9780691644264
• eBook 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.

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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