ASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF THE SCHRODINGER OPERATOR.
APL Library bulletin translation series,
JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
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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.
- Theoretical Mathematics
- Quantum Theory and Relativity