VARIATIONAL PRINCIPLES FOR THE WAVE FUNCTION IN SCATTERING THEORY
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 14, 1957
- Accession Number
- AD0263106
Entities
People
- Saul Altshuler
Organizations
- TRW Inc.