拉蓋爾方程 的英文怎麼說
中文拼音 [lāgěěrfāngchéng]
拉蓋爾方程
英文
laguerresche differentialgleichung laguerre equation-
By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one - dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. therefore the relationships between energy levels and wave functions of one - dimensional harmonic oscillator and hydrogen atom are found. through the coordinates transform, the relationships between energy levels and wave functions of two - dimensional harmonic oscillator and hydrogen atom are found
首先綜述了諧振子與氫原子的基本理論的研究現狀,並在此基礎上對諧振子與氫原子的關系展開了研究,通過厄密特方程與拉蓋爾方程的相互轉化,將一維諧振子與一維氫原子的本徵值方程轉化為相同形式的方程,從而比較得出它們能量及波函數間的關系,並通過坐標變換將直角坐標系下二維氫原子的本徵值方程轉化成與曲線坐標系下二維諧振子的本徵值方程相同的形式,從而得出二維氫原子與二維諧振子的能量及波函數的關系。
分享友人