论文标题
Laguerre多项式的自由振荡器实现
Free Oscillator Realization of the Laguerre Polynomial
论文作者
论文摘要
我们从自由振荡器实现的角度重新访问径向振荡器。通过使用自由振荡器，即谐波振荡器的创建/an灭操作员，我们构造了一个算子，该操作员将谐波振荡器的特征函数映射到径向振荡器的特征函数。作为此关系的多项式部分，我们获得了将Hermite多项式映射到Laguerre多项式的操作员。
We revisit the radial oscillator from the free oscillator realization point of view. By using a free oscillator, namely the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials.
