%0 Journal Article %1 springerlink:10.1007/s10910-011-9944-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 4 %P 971-980 %R 10.1007/s10910-011-9944-y %T Exact solutions of the Schrödinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials %U http://dx.doi.org/10.1007/s10910-011-9944-y %V 50 %X Exact bound state solutions and corresponding normalized eigenfunctions of the radial Schrödinger equation are studied for the pseudoharmonic and Mie-type potentials by using the Laplace transform approach. The analytical results are obtained and seen that they are the same with the ones obtained before. The energy eigenvalues of the inverse square plus square potential and three-dimensional harmonic oscillator are given as special cases. It is shown the variation of the first six normalized wavefunctions of the above potentials. It is also given numerical results for the bound states of two diatomic molecular potentials, and compared the results with the ones obtained in literature.

@article{springerlink:10.1007/s10910-011-9944-y, abstract = {Exact bound state solutions and corresponding normalized eigenfunctions of the radial Schrödinger equation are studied for the pseudoharmonic and Mie-type potentials by using the Laplace transform approach. The analytical results are obtained and seen that they are the same with the ones obtained before. The energy eigenvalues of the inverse square plus square potential and three-dimensional harmonic oscillator are given as special cases. It is shown the variation of the first six normalized wavefunctions of the above potentials. It is also given numerical results for the bound states of two diatomic molecular potentials, and compared the results with the ones obtained in literature.}, added-at = {2012-10-07T18:16:51.000+0200}, affiliation = {Department of Physics Education, Hacettepe University, 06800 Ankara, Turkey}, author = {Arda, Altuğ and Sever, Ramazan}, biburl = {https://www.bibsonomy.org/bibtex/2ef0b721654070206b42c807cedc09c80/drmatusek}, description = {Journal of Mathematical Chemistry, Volume 50, Number 4 - SpringerLink}, doi = {10.1007/s10910-011-9944-y}, interhash = {4483be995644b10a255e2d46b23df20f}, intrahash = {ef0b721654070206b42c807cedc09c80}, issn = {0259-9791}, journal = {Journal of Mathematical Chemistry}, keyword = {Chemistry and Materials Science}, keywords = {equation laplace mechanics physics quantum schrodinger solution transform}, month = apr, number = 4, pages = {971-980}, publisher = {Springer Netherlands}, timestamp = {2012-10-30T02:24:11.000+0100}, title = {Exact solutions of the Schrödinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials}, url = {http://dx.doi.org/10.1007/s10910-011-9944-y}, volume = 50, year = 2012 }