论文标题
通过拉普拉斯变换具有摩尔斯电位的N维schrödinger方程的溶液
Solutions of N-dimensional Schrödinger Equation with Morse Potential Via Laplace Transforms
论文作者
论文摘要
进行了一项研究，以研究基于拉普拉斯转化方法的莫尔斯电位的N维schrödinger方程的分析解决方案。结果表明，在北极近似中，schrödinger方程的径向部分在一个维度中降低至相应的方程。因此，它的确切溶液可以通过G. Chen的Laplace转化方法获得。 Lett。 A 326（2004）55。此外，通过该方法产生的能量谱和从两点准理性近似方法获得的能量谱和光谱进行了比较。
A study is undertaken to investigate an analytical solution for the N-dimensional Schrödinger equation with the Morse potential based on the Laplace transformation method. The results show that in the Pekeris approximation, the radial part of the Schrödinger equation reduces to the corresponding equation in one dimension. Hence its exact solutions can be obtained by the Laplace transformation method of G. Chen, phys. Lett. A 326 (2004) 55. In addition, a comparison is made between the energy spectrum resulted from this method and the spectra that are obtained from the two-point quasi-rational approximation method and the Nikiforov-Uvarov approach.
