A Selective Relaxation Method for Numerical Solution of Schrödinger Problems

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.

4 pages with figures, uuencoded Z-compressed ps file

References in corpus (2)

• Quantum Zeno Effect with the Feynman-Mensky Path-Integral Approach
• Dynamics of Quantum Collapse in Energy Measurements

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