An efficient algorithm for solving coupled Schrodinger type ODE's, whose potentials include delta-functions

S. S. Gousheh

doi:10.1006/jcph.1996.0013

An efficient algorithm for solving coupled Schrodinger type ODE's, whose potentials include delta-functions

1996-01-01

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S. S. Gousheh

DOI：10.1006/jcph.1996.0013

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I have used the shooting method to find the eigenvalues (bound state energies) of a set of strongly coupled Schrodinger type equations. I have discussed the advantages of the shooting method when the potentials include delta-functions. I have also discussed some points which are universal in these kind of problems, whose use make the algorithm much more efficient. These points include mapping the domain of the ODE into a finite one, using the asymptotic form of the solutions, best use of the normalization freedom, and converting the delta-functions into boundary conditions. (C) 1996 Academic Press, Inc.

Keywords:

NUMERICAL-INTEGRATION

VACUUM POLARIZATION

SKYRME MODEL

EQUATION

FIELD

An efficient algorithm for solving coupled Schrodinger type ODE's, whose potentials include delta-functions

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