On Improved WKB (Uniform Asymptotic) Quantum Conditions, Dunham Corrections, the Langer Modification, and RKR Potentials

Abstract

An improvement to the WKB quantum condition for the rotation‐vibration levels of diatomic molecules, known empirically to give RKR potentials of increased accuracy and to account for the Dunham correction Y₀₀, is derived using uniform asymptotic methods. The role of the Langer transformation in this problem is also discussed.