Exact solutions of the radial Schrödinger equation for some physical potentials
Autor: | Sameer M. Ikhdair, Ramazan Sever |
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Rok vydání: | 2007 |
Předmět: |
Physics
Quantum Physics pseudoharmonic potential QC1-999 FOS: Physical sciences General Physics and Astronomy bound-states Mathematics::Spectral Theory Eigenfunction 03.65.-w Schrödinger equation symbols.namesake 03.65.fd 03.65.ge Bound state symbols eigenvalues and eigenfunctions wavefunction ansatz kratzer’s potential Quantum Physics (quant-ph) Wave function Ansatz Mathematical physics |
Zdroj: | Open Physics, Vol 5, Iss 4, Pp 516-527 (2007) |
ISSN: | 2391-5471 |
DOI: | 10.2478/s11534-007-0022-9 |
Popis: | By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrodinger equation for the pseudoharmonic and Kratzer potentials in two dimensions. The energy levels of all the bound states are easily calculated from this eigenfunction ansatz. The normalized wavefunctions are also obtained. Comment: 13 pages |
Databáze: | OpenAIRE |
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