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http://hdl.handle.net/11129/2741
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| Title: | On the quasi-exact solvability of a singular potential in D-dimensions: Confined and unconfined |
| Authors: | Mustafa, Omar
Eastern Mediterranean University, Faculty of Arts andSciences, Department of Physics
TR217733 |
| Keywords: | D-dimensional Schrödinger equation, Boxed anharmonic oscillators, Quasi-exact solvability
PHYSICS, MULTIDISCIPLINARY, HYDROGEN-ATOM
Numerical Analysis, Mathematical Physics, Mathematics |
| Issue Date: | 2002 |
| Publisher: | Inst Physics Acad Sci Czech Republic, Springer (Online Publishing) |
| Citation: | O. Mustafa, Czech. J. Phys. 52, 351 (2002); arXiv: math-ph/0101030. ì
On the quasi-exact solvability of a singular potential in D-dimensions; confined and
unconfined SCI-journal |
| Abstract: | The D -dimensional quasi - exact solutions for the singular even - power anharmonic potential V(q)=aq^2+bq^{-4}+cq^{-6} are reported. We show that whilst Dong and Ma's [5] quasi - exact ground - state solution (in D=2) is beyond doubt, their solution for the first excited state is exotic. Quasi - exact solutions for the ground and first excited states are also given for the above potential confined to an impenetrable cylindrical (D=2) or spherical (D=3) wall. |
| Description: | Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication. |
| URI: | http://dx.doi.org/10.1023/A:1015425301283
http://hdl.handle.net/11129/2741 |
| ISSN: | 0011-4626 (print)
1572-9486(online) |
| Appears in Collections: | PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics
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