Accession Number:

AD0669934

Title:

ASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF THE SCHRODINGER OPERATOR.

Descriptive Note:

APL Library bulletin translation series,

Corporate Author:

JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s):

Report Date:

1968-03-28

Pagination or Media Count:

14.0

Abstract:

The author considers the eigenfunction problem minus epsilon squared Psi double prime sub n vx 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.

Subject Categories:

  • Theoretical Mathematics
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE