ASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF THE SCHRODINGER OPERATOR.
Abstract
The author considers the eigenfunction problem minus epsilon squared Psi double prime sub n + v(x) Psi sub n = lambda sub n Psi sub n, the integral from minus infinity to infinity of (Psi squared sub n dx) = 1. He investigates the asymptotic behavior of the solutions of this problem with respect to the parameters as epsilon approaches zero and n approaches infinity, such that nepsilon approaches a constant, lambda sub n approaches lambda, i.e., the quasi-classical behavior.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 28, 1968
- Accession Number
- AD0669934
Entities
People
- V. P. Maslov
Organizations
- Johns Hopkins University Applied Physics Laboratory