Accession Number:

AD0263106

Title:

VARIATIONAL PRINCIPLES FOR THE WAVE FUNCTION IN SCATTERING THEORY

Descriptive Note:

Corporate Author:

THOMPSON RAMO WOOLDRIDGE INC LOS ANGELES CALIF

Personal Author(s):

Report Date:

1957-10-14

Pagination or Media Count:

1.0

Abstract:

Variational principles are designed for the solution of the Schroedinger equation when a point source is placed in the presence of an inhomogeneous, absorbing medium represented by an arbitrary complex potential function. When the point source is allowed to recede to infinity, these stationary structures reduce to variational principles for the wave function in the standard scatter problem, namely the outgoing solution to the Schroedinger equation for an incident plane wave. Finally in the asymptotic region, the well-known bi-functional variational principles for the transition amplitudes arise automatically from the stationary forms for the wave function describing the standard scatter problem. A few examples leading to variationally improved wave functions are discussed. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE