19 citations · 68 across the 9 of their papers we have counts for
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math-ph2003★ 8 cited
Semiclassical energy formulas for power-law and log potentials in quantum mechanics
Richard L. Hall, Qutaibeh D. Katatbeh
We study a single particle which obeys non-relativistic quantum mechanics in R^N and has Hamiltonian H = -Delta + V(r), where V(r) = sgn(q)r^q. If N \geq 2, then q > -2, and if N =…
math-ph2003★ 12 cited
Coulomb plus power-law potentials in quantum mechanics
Haken Ciftci, Richard L. Hall, Qutaibeh D. Katatbeh
We study the discrete spectrum of the Hamiltonian H = -Delta + V(r) for the Coulomb plus power-law potential V(r)=-1/r+ beta sgn(q)r^q, where beta > 0, q > -2 and q \ne 0. We show…