Analytical formulas for the eigenvalues and eigenfunctions of a d-dimensional hydrogen atom with a potential defined by Gauss' law
✍ Scribed by Daniel A. Morales
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 631 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
The solution of the Schrodinger equation for the d-dimensional hydrogen atom in a d-dependent potential defined by Gauss' law has been studied by the shifted l/d method and the 6 expansion. These methods provide analytical formulas for the eigenvalues and eigenfunctions which have been tested against "exact" numerical values obtained recently. The comparison shows that the results obtained with the analytical expressions are in excellent accord with the numerical ones and, on the other hand, provide a theoretical justification for a proposed empirical expression for the energies of the two-dimensional hydrogen atom with a logarithmic potential energy function. 0 1996 John Wiley & Sons, Inc.