论文标题
n维schrödinger方程与varshni-hulthén潜在模型相互作用的征量
Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model
论文作者
论文摘要
新提出的Varshni-Hulthén电位的N维schrödinger方程的分析解决方案是在Nikiforov-Uvarov方法的框架内通过使用Greene-Aldrich近似方案到离心屏障的。根据Jacobi多项式获得的数值特征值和相应的归一化征函数。同样研究了电势的特殊情况，其数值特征值与先前与其他方法获得的特殊情况一致。但是，以图形方式说明了基态和几个激发态的能量的行为。
Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.
