We propose improved ring shaped like potential of the form,2V(r,θ)=V(r)+(2/2M r)[(βsin2θ+γcos2θ+2λ)/sinθcosθ]and its exact solutions are presented via the Nikiforov–Uvarov method.The angle dependent part V(θ...We propose improved ring shaped like potential of the form,2V(r,θ)=V(r)+(2/2M r)[(βsin2θ+γcos2θ+2λ)/sinθcosθ]and its exact solutions are presented via the Nikiforov–Uvarov method.The angle dependent part V(θ)=(2/22M r)[(βsin22θ+γcos2θ+λ)/sinθcosθ],which is reported for the first time embodied the novel angle dependent(NAD)potential and harmonic novel angle dependent potential(HNAD)as special cases.We discuss in detail the effects of the improved ring shaped like potential on the radial parts of the spherical harmonic and Coulomb potentials.展开更多
文摘We propose improved ring shaped like potential of the form,2V(r,θ)=V(r)+(2/2M r)[(βsin2θ+γcos2θ+2λ)/sinθcosθ]and its exact solutions are presented via the Nikiforov–Uvarov method.The angle dependent part V(θ)=(2/22M r)[(βsin22θ+γcos2θ+λ)/sinθcosθ],which is reported for the first time embodied the novel angle dependent(NAD)potential and harmonic novel angle dependent potential(HNAD)as special cases.We discuss in detail the effects of the improved ring shaped like potential on the radial parts of the spherical harmonic and Coulomb potentials.
