Speaker
Obiageli Ezenwachukwu
Description
In this contribution basis sets derived from Daubechies wavelets scaling functions[1] are used to solve the one-dimensional Schrödinger equation on the interval $[-x_{\rm max}:x_{\rm max}]$. We present the results for
a) the harmonic oscillator and b) the Morse potential as function of the number $N$ of intervals. Double logarithmic fits of the energy error against $N$ are also shown. Fast convergence is found.
Finally further applications to the three-dimensional Schrödinger equation also with a view to density functional calculations are discussed.
References
1.Daubechies,I.(1988). Orthonormal bases of compactly supported wavelets
Communications on Pure and Applied Mathematics, 41(7), 909-996
| Apply for student award at which level: | PhD |
|---|---|
| Consent on use of personal information: Abstract Submission | Yes, I ACCEPT |
Primary author
Obiageli Ezenwachukwu
Co-author
Prof.
Morotz Braun
(University of South Africa)
