We propose a numerical method for evaluating eigenvalues and eigenfunctions of Schrodinger 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 a rate of convergence that is infinite. In the case of bistable potentials the method allows one to evaluate the fundamental energy splitting for a wide range of tunneling rates.

SELECTIVE RELAXATION METHOD FOR NUMERICAL-SOLUTION OF SCHRODINGER PROBLEMS / Presilla, Carlo; Tambini, U.. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 52:(1995), pp. 4495-4498. [10.1103/PhysRevE.52.4495]

SELECTIVE RELAXATION METHOD FOR NUMERICAL-SOLUTION OF SCHRODINGER PROBLEMS

PRESILLA, Carlo;
1995

Abstract

We propose a numerical method for evaluating eigenvalues and eigenfunctions of Schrodinger 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 a rate of convergence that is infinite. In the case of bistable potentials the method allows one to evaluate the fundamental energy splitting for a wide range of tunneling rates.
1995
numerical method for evaluating eigenvalues and eigenfunctions of Schrödinger operators; open quantum systems
01 Pubblicazione su rivista::01a Articolo in rivista
SELECTIVE RELAXATION METHOD FOR NUMERICAL-SOLUTION OF SCHRODINGER PROBLEMS / Presilla, Carlo; Tambini, U.. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 52:(1995), pp. 4495-4498. [10.1103/PhysRevE.52.4495]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/66591
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