Exact Quantization Rules for the One-Dimensional Schrödinger Equation with Turning Points

1 September 1964

journal article
research article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 5 (9) , 1293-1297
https://doi.org/10.1063/1.1704238

Abstract

It is pointed out that, for a number of problems, exact quantization rules exist which closely resemble that of Bohr‐Wilson‐Sommerfeld. In some cases it is shown how these rules may be derived mathematically from the Schrödinger equation.

Keywords

QUANTIZATION RULES
MATHEMATICALLY
BOHR
SOMMERFELD
RESEMBLE
WILSON
DIMENSIONAL SCHRÖDINGER EQUATION

This publication has 2 references indexed in Scilit:

Power-Series Solutions for Energy Eigenvalues
The Journal of Chemical Physics, 1962
ON THE ASYMPTOTIC DISTRIBUTION OF EIGENVALUES
The Quarterly Journal of Mathematics, 1954