Thursday, August 23, 2012

1208.4473 (Jishnu Goswami et al.)

Series solution of a central potential problem with three-term recursion

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.
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