Alternating Wentzel-Kramers-Brillouin Approximation to the Schrödinger Equation: Rediscover the Bremmers series and beyond

Yu-An Tsai, Sheng D. Chao

We propose an extension of Wenzel-Kramers-Brillouin (WKB) approximation for solving the Schrödinger equation. A set of coupled differential equations is obtained by considering an…