12 citations · 14 across the 3 of their papers we have counts for
3 papers
quant-ph2022
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 the Wentzel-Kramers-Brillouin (WKB) approximation for solving the Schrödinger equation. Based on an ansatz for the wave function, subject to an auxiliary…
quant-ph2012★ 12 cited
Split Kinetic Energy Method for Quantum Systems with Competing Potentials
H. Mineo, Sheng D. Chao
For quantum systems with competing potentials, the conventional perturbation theory often yields an asymptotic series and the subsequent numerical outcome becomes uncertain. To tac…
quant-ph2005★ 2 cited
On the transfer matrix method and WKB approximation for Schrödinger equation with position-dependent effective mass
C. F. Huang, S. D. Chao, D. R. Hang +1
We have obtained a set of coupled differential equations from the continuous limit of the transfer matrix method. Decoupling such a set of equations yields an extension to the Went…