Study of a class of non-polynomial oscillator potentials

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Saad N., Hall R., Ciftci H.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.39, no.24, pp.7745-7756, 2006 (SCI-Expanded) identifier identifier


We develop a variational method to obtain accurate bounds for the eigenenergies of H = -Delta + V in arbitrary dimensions N > 1, where V(r) is the nonpolynomial oscillator potential V(r) = r(2) + 1+gr(2)/lambda r(2), lambda is an element of (-infinity,infinity),g > 0. The variational bounds are compared with results previously obtained in the literature. An infinite set of exact solutions is also obtained and used as a source of comparison eigenvalues.