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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
