Thesis (Ph. D.)--University of Michigan, 1933. / Cover title. "Reprinted from the Physical review, second series, volume 44, no. 8, October 15, 1933."

Thesis (M.S.)--University of Missouri-Columbia, 2008. / The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on September 5, 2008) Includes bibliographical references.

Thesis (Ph. D.)--University of Michigan, 1933. / Cover title. "Reprinted from the Physical review, second series, volume 44, no. 8, October 15, 1933."

Thesis--Universität Marburg, 1913. / Cover-title. Lebenslauf.

Inaug.-diss.--Leipzig.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1968. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliography.

Inaug.-diss.--Leipzig.

The derivation of a partial-wave amplitude for scattering by a separable, nonlocal potential given by MCMillan in Nuovo Cimento 29, 4153 (1963) is reviewed. Using his results, an exact expression for the amplitude is derived for a potential of the form -g V(r)V(r¹), where V(r) = ra e-μr , and its analytic properties are studied. The asymptotic behaviour of the amplitude as |ℓ| → ∞ (where ℓ is the usual angular-momentum parameter) is derived, and is shown to permit a Sommerfeld-Watson transformation to be performed on the series expression for the total scattering amplitude in terms of the partial-wave amplitudes. By means of this transformation, a double-dispersion relation is derived for the total amplitude in both the complex-energy and complex-cos θ planes. Explicit forms are derived for the weight functions, and the convergence of the integrals involved is studied. In addition to the usual branch cuts along the positive, real energy and cos θ axes, an extra cut along the negative , real energy axis is found which is not present for the local case. Its origin is traced to the fact that the Wronskian of two solutions of the nonlocal radical Schroedinger equation is not necessarily a constant, as it is in the purely local case; and to the conditions necessary to ensure convergence of the extra integral in the nonlocal Schroedinger equation. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

No description available.

On presente une generalisation d'un resultat de Wallin ainsi qu'une caracterisation des ensembles compacts polaires dans un espace de Brelot. Ces resultats se generalisent a un produit de n espaces de Brelot en demontrant la continuite des fonctions multireduites. On en deduit qu'un ensemble localement n polaire est un ensemble in polaire. Des resultats semblebles ont lieu pour une sous-classe des ensembles pluripolaires dans un domaine hyperconvexe et borne de C('n).