%0 Journal Article %1 springerlink:10.1007/s10910-011-9829-0 %A Schulze-Halberg, Axel %D 2011 %I Springer Netherlands %J Journal of Mathematical Chemistry %K darboux equation mathematics mechanics physics quantum schrodinger solution susy transform %N 7 %P 1302-1310 %R 10.1007/s10910-011-9829-0 %T Two-dimensional Darboux transformations for non-separable angular equations and solvable non-central potentials %U http://dx.doi.org/10.1007/s10910-011-9829-0 %V 49 %X We construct a two-dimensional Darboux transformation for the angular equation that arises from variable separation of a Schrödinger equation in spherical coordinates. Since we do not assume the angular equation to be further separable, our Darboux transformation allows for the systematic generation of solvable non-central potentials that are not accessible through the usual separation of variables.

@article{springerlink:10.1007/s10910-011-9829-0, abstract = {We construct a two-dimensional Darboux transformation for the angular equation that arises from variable separation of a Schrödinger equation in spherical coordinates. Since we do not assume the angular equation to be further separable, our Darboux transformation allows for the systematic generation of solvable non-central potentials that are not accessible through the usual separation of variables.}, added-at = {2011-07-19T16:21:59.000+0200}, affiliation = {Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408, USA}, author = {Schulze-Halberg, Axel}, biburl = {https://www.bibsonomy.org/bibtex/22d78e79c202336aaa0bcadcfd9722502/drmatusek}, doi = {10.1007/s10910-011-9829-0}, interhash = {4323b42d8ff4677ed6041692346cc604}, intrahash = {2d78e79c202336aaa0bcadcfd9722502}, issn = {0259-9791}, journal = {Journal of Mathematical Chemistry}, keyword = {Chemistry and Materials Science}, keywords = {darboux equation mathematics mechanics physics quantum schrodinger solution susy transform}, month = {August}, note = {10.1007/s10910-011-9829-0}, number = 7, pages = {1302-1310}, publisher = {Springer Netherlands}, timestamp = {2012-11-29T14:56:35.000+0100}, title = {Two-dimensional Darboux transformations for non-separable angular equations and solvable non-central potentials}, url = {http://dx.doi.org/10.1007/s10910-011-9829-0}, volume = 49, year = 2011 }