We deal with the solutions to the radial Schröinger equation for the Coulomb perturbed potential in N-dimensional Hilbert space by using two methods, i.e. the power series technique via a suitable ansatz to the wavefunction and the Virial theorem. Analytic expressions for eigenvalues and normalized eigenfunctions are derived. A recursion relation among series expansion coefficients, a condition for convergence of series and inter-dimensional degeneracies are also investigated. As special cases, the problem is solved in 3 and 4 dimensions with some specific parameter values. The obtained analytical and numerical results are in good agreement with the results of other studies.
Ramesh Kumar, Fakir Chand. Energy Spectra of the Coulomb Perturbed Potential in N-Dimensional Hilbert Space[J]. 中国物理快报, 2012, 29(6): 60306-060306.
Ramesh Kumar, Fakir Chand. Energy Spectra of the Coulomb Perturbed Potential in N-Dimensional Hilbert Space. Chin. Phys. Lett., 2012, 29(6): 60306-060306.
2012, Vol. 29 
