On the solutions of the Schrodinger equation with some molecular potentials: wave function ansatz
| Autor: | Sameer M. Ikhdair, Ramazan Sever |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
pseudoharmonic potential
QC1-999 General Physics and Astronomy FOS: Physical sciences Azimuthal quantum number Schrödinger equation 03.65.-w symbols.namesake 03.65.ge Bound state Wave function Linear combination Mathematical physics Ansatz Physics Quantum Physics diatomic molecules Function (mathematics) schrödinger equation bound states anharmonic oscillator potential mie-type potential 03.65.fd symbols kratzer’s potential Quantum Physics (quant-ph) |
| Zdroj: | Open Physics, Vol 6, Iss 3, Pp 697-703 (2008) |
| Popis: | Making an ansatz to the wave function, the exact solutions of the $D$% -dimensional radial Schrodinger equation with some molecular potentials like pseudoharmonic and modified Kratzer potentials are obtained. The restriction on the parameters of the given potential, $\delta $ and $\eta $ are also given, where $\eta $ depends on a linear combination of the angular momentum quantum number $\ell $ and the spatial dimensions $D$ and $\delta $ is a parameter in the ansatz to the wave function. On inserting D=3, we find that the bound state eigensolutions recover their standard analytical forms in literature. Comment: 14 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|