1202.4271 (Altug Arda et al.)

Non-Central Potentials, Exact Solutions and Laplace Transform Approach    [PDF]

Altug Arda, Ramazan Sever

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.

View original: http://arxiv.org/abs/1202.4271