R. Robinett

Quantum analog of the classical action integral: evaluation using approximate WKB and exact energy eigenvalues in familiar (and not so familiar) bound state problems

Using both WKB approximation methods and complete eigenstate solutions, we examine four standard, textbook level, bound state problems in quantum mechanics. We show how the action integral from the Bohr–Sommerfeld quantization condition, extended to the WKB energy quantization condition, can be expressed in the languag...