非谐振子与双势阱：近似本征函数
Anharmonic oscillator and double-well potential: approximating eigenfunctions
摘要：
本文给出了一个简单的统一近似，分别近似计算了由$m^2>0$给出的量子力学非谐振子和双阱势的基态本征函数在任意$m^2<0$处的对数导数.它表明，如果这种近似作为未扰动的问题，它导致一个非常快的收敛摄动理论。
英文摘要：
A simple uniform approximation of the logarithmic derivative of the ground state eigenfunction for both the quantum-mechanical anharmonic oscillator and the double-well potential given by $V= m^2 x^2+g x^4$ at arbitrary $g \geq 0$ for $m^2>0$ and $m^2<0$, respectively, is presented. It is shown that if this approximation is taken as unperturbed problem it leads to an extremely fast convergent perturbation theory.
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。
