| 扩展Hermite方程及其求解 |
| |
| 引用本文： | 刘克家.扩展Hermite方程及其求解[J].贵州工业大学学报(自然科学版),1998,27(4):17-21. |
| |
| 作者姓名： | 刘克家 |
| |
| 作者单位： | 贵州工业大学冶金系 |
| |
| 摘 要： | 用级数展开法，严格求解了一二阶微分方程，此方程的特殊情况是Ｈｅｒｍｉｔｅ方程，并讨论了方程的本征值以及本征函数的正交性问题，最后还讨论了方程所对应的数种实际物理模型。
|
| 关 键 词： | 量子力学 薛定鄂方程 量子能级 Hermite方程 解 |
SOLUTION OF THE EPANDED ERMICIAN QUATION |
| |
| Liu,Kejia.SOLUTION OF THE EPANDED ERMICIAN QUATION[J].Journal of Guizhou University of Technology(Natural Science Edition),1998,27(4):17-21. |
| |
| Authors: | Liu Kejia |
| |
| Abstract: | A series of the second order differential equations,including the Hermician equation, is exactly solved. The eigenvalue and the eigenfunction that is a new kind of polynomial are obtained by means of the power-series solutions. It is proved that the equation belongs to the Sturm-Liouville differential equation, and therefore, its eigenfunctions are orthogonal and complete. Applications of the potential to the real physical problems are discussed briefly also. |
| |
| Keywords: | Quantum Mechanics Solution of the Schrodinger's Equation Quantum Energy lever Hermican function |
| 本文献已被 CNKI 维普 等数据库收录！ |
