On the quasi-exact solvability of a singular potential in D-dimensions: Confined and unconfined
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Inst Physics Acad Sci Czech Republic, Springer (Online Publishing)
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info:eu-repo/semantics/closedAccess
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.
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Keywords
D-dimensional Schrödinger equation, Boxed anharmonic oscillators, Quasi-exact solvability, PHYSICS, MULTIDISCIPLINARY, HYDROGEN-ATOM, Numerical Analysis, Mathematical Physics, Mathematics
Journal or Series
Czechoslovak Journal of Physics
WoS Q Value
Scopus Q Value
Volume
52
Issue
3
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
