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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