Improved Method for Quantum-mechanical Three-body Problems

Improved Method for Quantum-mechanical Three-body Problems
Author: Leonard Eyges
Publisher:
Total Pages: 18
Release: 1965
Genre: Integral equations
ISBN:

The quantum-mechanical ground-state problem for three identical particles bound by attractive inter-particle potentials is discussed. For this problem it has previously been shown that it is advantageous to write the wave function in a special functional form, form which an integral equation which is equivalent to the Schrodinger equation was derived. In this paper a new method for solving this equation is presented. The method involves an expansion of a two-body problem with a potential of the same shape as the inter-particle potential in the three-body problem, but of enhanced strength.

A Discussion of the Wheeler-Feynman Absorber Theory of Radiation

A Discussion of the Wheeler-Feynman Absorber Theory of Radiation
Author: Ronald G. Newburgh
Publisher:
Total Pages: 34
Release: 1965
Genre: Absorption
ISBN:

The Wheeler-Feynman absorber theory of radiation is reviewed. A proof is offered to show that a sum of advanced and retarded effects from the absorber can provide the origin of radiative reaction. This proof is different from and perhaps simpler than that of Wheeler and Feynman. From arguments of momentum and energy conservation the necessity of the absorber for the emission of radiation is demonstrated for three cases. (Author).

The Theoretical and Numerical Determination of the Radar Cross Section of a Finite Cone

The Theoretical and Numerical Determination of the Radar Cross Section of a Finite Cone
Author: F. V. Schultz
Publisher:
Total Pages: 14
Release: 1965
Genre: Boundary value problems
ISBN:

In this work, rigorous electromagnetic theory is used to determine the nose-on radar cross section of a perfectly conducting cone of finite height. The end cap of the cone is assumed to be a segment of a s spherical surface with center at the apex of the cone. Numerical results have been obtained for a cone having a total apex angle of 30 degrees and for values of [kappa alpha] ranging from 0.0259 to 5.18, where [kappa]=2 [pi]/[lambda] and [alpha] is the radius of the base of the cone. Siegel's Rayleigh method and by using Keller's modified geometrical optics as well as with experimental results obtained by Keys. The comparisons are instructive below [kappa alpha] = 3.2, the apparent upper limit of validity of the present results -- p.[3].