# 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.

# Descriptors:

# Subject Categories:

- Theoretical Mathematics
- Quantum Theory and Relativity