Non-Central Potentials, Exact Solutions and Laplace Transform Approach

Details Non-Central Potentials, Exact Solutions and Laplace Transform Approach Non-Central Potentials, Exact Solutions and Laplace Transform Approach

2012-02-20

arxiv.org/abs/1202.4271v1

Physics

Mathematical Physics

15 pages

Scientific paper

10.1007/s10910-012-9984-y

Exact bound state solutions and the corresponding wave functions of the Schr\"odinger equation for some non-central potentials including Makarov potential, modified-Kratzer plus a ring-shaped potential, double ring-shaped Kratzer potential, modified non-central potential and ring-shaped non-spherical oscillator potential are obtained by using the Laplace transform approach. The energy spectrums of the Hartmann potential, modified-Kratzer potential and ring-shaped oscillator potential are also briefly studied as special cases. It is seen that our analytical results for all these potentials are consistent with those obtained by other works. We also give some numerical results obtained for the modified non-central potential for different values of the related quantum numbers.

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