1673-159X

CN 51-1686/N

Hellmann-广义Morse势Schrödinger方程的散射态解

The Scattering States of Schrödinger Equation with Hellmann-generalized Morse Potential Model

  • 摘要: 基于对离心项的恰当近似, 本文研究了具有Hellmann-广义Morse势的薛定谔方程的散射态问题, 得到了归一化的散射态波函数和相应的散射相移, 同时利用散射振幅解析性质获得了束缚态能级满足的方程。最后, 数值求解特征值方程并和真实值数据进行了对比。

     

    Abstract: Within a proper approximation to the centrifugal term, the analytical scattering state of Schrödinger equation for the Hellmann-generalized Morse potential is studied. The normalized analytical radial wave functions are presented and the corresponding scattering phase shifts are derived. Moreover, the bound state energy levels of the studied quantum system are found at the poles of scattering amplitude. Finally, we present some numerical energy levels calculated form energy equation and compare them with exact value.

     

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