%0 Journal Article %1 springerlink:10.1007/s10910-012-9984-y %A Arda, Altuğ %A Sever, Ramazan %D 2012 %I Springer Netherlands %J Journal of Mathematical Chemistry %K equation laplace mechanics physics quantum schrodinger solution transform %N 6 %P 1484-1494 %R 10.1007/s10910-012-9984-y %T Non-central potentials, exact solutions and Laplace transform approach %U http://dx.doi.org/10.1007/s10910-012-9984-y %V 50 %X Exact bound state solutions and the corresponding wave functions of the Schrödinger 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.

@article{springerlink:10.1007/s10910-012-9984-y, abstract = {Exact bound state solutions and the corresponding wave functions of the Schrödinger 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.}, added-at = {2012-08-10T20:16:43.000+0200}, affiliation = {Department of Physics Education, Hacettepe University, 06800 Ankara, Turkey}, author = {Arda, Altuğ and Sever, Ramazan}, biburl = {https://www.bibsonomy.org/bibtex/2ac66661af80a2339834b4b2dece8195f/drmatusek}, description = {Journal of Mathematical Chemistry, Volume 50, Number 6 - SpringerLink}, doi = {10.1007/s10910-012-9984-y}, interhash = {444bbf39e704411746edeb50d0feaeb8}, intrahash = {ac66661af80a2339834b4b2dece8195f}, issn = {0259-9791}, journal = {Journal of Mathematical Chemistry}, keyword = {Chemistry and Materials Science}, keywords = {equation laplace mechanics physics quantum schrodinger solution transform}, month = jun, number = 6, pages = {1484-1494}, publisher = {Springer Netherlands}, timestamp = {2012-10-20T19:24:53.000+0200}, title = {Non-central potentials, exact solutions and Laplace transform approach}, url = {http://dx.doi.org/10.1007/s10910-012-9984-y}, volume = 50, year = 2012 }