<論文>量子力学における定常摂動論の再定式化 II : 一次元散乱問題への適用

概要

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In our previous paper we proposed a new reformulation for the stationary perturbation method in quantum mechanics, where the Schrodinger equation is changed into the Ricatti equation through the transformation of logarithmic derivative type. Taking the anharmonic oscillator of gx^4 type, we found that our method remarkably reduces cumbersome and lengthy calculations for wave functions and energy eigenvalues. In the present paper, we apply our method to scattering problems in one space-dimension for cases of energy being much larger than potential barriers. It is shown that it reproduces the well-known results of the Born scattering as well as the conservation of probability at the first order approximation in perturbation expansions.
山口県立大学の論文
2002-03-25