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Showing 2010 · math-phShow all
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math-ph2010★ 19 cited
Generalized quantum isotonic nonlinear oscillator in d dimensions
Richard L. Hall, Nasser Saad, Ozlem Yesiltas
We present a supersymmetric analysis for the d-dimensional Schroedinger equation with the generalized isotonic nonlinear-oscillator potential V(r)={B^2}/{r^{2}}+ω^{2} r^{2}+2g{(r^{…
math-ph2010★ 10 cited
Comparison theorems for the Dirac equation with spin-symmetric and pseudo-spin-symmetric interactions
Richard L. Hall, Ozlem Yesiltas
A single Dirac particle is bound in d dimensions by vector V(r) and scalar S(r) central potentials. The spin-symmetric S=V and pseudo-spin-symmetric S = - V cases are studied and i…