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arXiv · 1101.3209

Wronskian method for bound states

Francisco M. Fernández
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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.

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Francisco M. Fernández. 2011-01-17. Wronskian method for bound states. https://doi.org/10.1088/0143-0807%2F32%2F3%2F008

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