Wronskian method for bound states
Quantum Physics
2015-05-27 v1 Mathematical Physics
math.MP
Physics Education
Abstract
We propose a simple and straightforward method based on Wronskians for the calculation of bound--state energies and wavefunctions of one--dimensional quantum--mechanical problems. We explicitly discuss the asymptotic behavior of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider an exactly solvable model and the Gaussian potential well.
Cite
@article{arxiv.1101.3209,
title = {Wronskian method for bound states},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:1101.3209},
year = {2015}
}