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quant-ph2010★ 65 cited
Hydrogen atom in momentum space with a minimal length
Djamil Bouaziz, Nourredine Ferkous
A momentum representation treatment of the hydrogen atom problem with a generalized uncertainty relation,which leads to a minimal length (ΔX_{i})_{min}= \hbar \sqrt(3β+β'), is pres…
quant-ph2010★ 54 cited
Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
Djamil Bouaziz, Michel Bawin
We solve analytically the Schrödinger equation for the N-dimensional inverse square potential in quantum mechanics with a minimal length in terms of Heun's functions. We apply our…