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 Wronskian method and the Schrödinger eigenvalue march


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We compare the Wronskian method WM and the Schr\-odinger eigenvalue march or canonical function method SEM-CFM for the calculation of the energies and eigenfunctions of the Schr\-odinger equation. The Wronskians between linearly independent solutions of the Schr\-odinger equation provide a rigorous basis for some of the assumptions of the SEM-CFM, like, for example, the concept of -saturation-. We compare the performance of both approaches on a simple one-dimensional model and suggest that taking into account the asymptotic behaviour of the wavefunction as is already done in the WM may make the SEM-CFM more efficient from a numerical point of view.



Author: Francisco M. Fernández

Source: https://archive.org/







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