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) : Maslov,V. P.

Report Date : 28 MAR 1968

Pagination or Media Count : 14

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.

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, *QUANTUM THEORY), FUNCTIONAL ANALYSIS, OPERATORS(MATHEMATICS), FUNCTIONS(MATHEMATICS), BOUNDARY VALUE PROBLEMS, THEOREMS, USSR

Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE