组分WKB级数的显式求和和新的近似波函数
Explicit summation of the constituent WKB series and new approximate wave functions
摘要：
本文用首分量WKB级数的显式求和来逼近一维薛定谔方程的独立解。特解的连续匹配给出了波函数的一致有效的解析逼近。对不同类型的势所引起的一些精确可解问题进行了详细的数值验证。
英文摘要：
The independent solutions of the one-dimensional Schrödinger equation are approximated by means of the explicit summation of the leading constituent WKB series. The continuous matching of the particular solutions gives the uniformly valid analytical approximation to the wave functions. A detailed numerical verification of the proposed approximation is performed for some exactly solvable problems arising from different kinds of potentials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
