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A Selective Relaxation Method for Numerical Solution of Schrödinger Problems

Carlo Presilla·Ubaldo Tambini
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Abstract

We propose a numerical method for evaluating eigenvalues and eigenfunctions of Schrödinger operators with general confining potentials. The method is selective in the sense that only the eigenvalue closest to a chosen input energy is found through an absolutely-stable relaxation algorithm which has rate of convergence infinite. In the case of bistable potentials the method allows one to evaluate the fundamental energy splitting for a wide range of tunneling rates.

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BibTeXRIS

Carlo Presilla, Ubaldo Tambini. 1995-05-12. A Selective Relaxation Method for Numerical Solution of Schrödinger Problems. https://doi.org/10.1103/physreve.52.4495

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