The Calculation of Energy Bands in Periodic Potentials by the Kellogg-Collatz Integral Iteration Method.
Abstract
A preliminary investigation has been made into the applicability of the Kellogg-Collatz integral iteration method to the calculation of electronic energy levels in solids. The basic fact which permits the practical applicability of the method to the solids problem is the invariance of form of a Bloch-type wave function under the appropriate integral transformations. This invariance and its implications for the calculation of energy bands in solids are discussed. As illustrations and preliminary tests of the technique, the cosine potential and the Kronig-Penney potential are treated explicitly.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1951
- Accession Number
- AD0495846
Entities
People
- Milton Dank
Organizations
- University of Pennsylvania