1208.4473 (Jishnu Goswami et al.)

Series solution of a central potential problem with three-term recursion
relation    [PDF]

Jishnu Goswami, Chandan Mondal, Dipankar Chakrabarti

The series solution of the radial part of the Schr\"odinger equation for simultaneous coulomb and harmonic potential involves three-term recursion relation and is thus difficult to solve for bound states. We have suggested a simple method to solve for low lying states. Finite polynomial solutions exist only if the coulomb and oscillator potentials are nontrivially related.

View original: http://arxiv.org/abs/1208.4473