Exact solutions of the radial Schrodinger equation for some physical potentials

Details Exact solutions of the radial Schrodinger equation for some physical potentials Exact solutions of the radial Schrodinger equation for some physical potentials

2007-02-14

arxiv.org/abs/quant-ph/0702141v1

CentralEur.J.Phys.5:516,2007

Physics

Quantum Physics

13 pages

Scientific paper

10.2478/s11534-007-0022-9

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.

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