 |
In this paper we address the problem of calculating the free-state wave functions with predefined asymptotic behavior. It is shown that, in a number of cases, usable results may be obtained by the WBK (Wentzel-Brillouin-Kramers) approximation, but not by plain numerical integration of the Schrodinger equation if it is performed with accuracy normally provided by computers. For reference purposes, the calculation based on algebra implemented in Mathematica is done, enabling an arbitrary large number of significant digits to be used. The WBK-based calculation is found to offer reasonably low errors.
|
|
For the newest resources, visit Wolfram Repositories and Archives »
