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A COMPARATIVE-STUDY OF VARIATIONAL TECHNIQUES FOR SCHRODINGER-EQUATIONS - POINTWISE QUALITY CRITERIA

1988-08-01
YURTSEVER, E
Different variational schemes for solving the Schrodinger equation are tested for the model potential of Kratzer-Fues. Wavefunctions are analyzed in terms of their global (expectation values) and local properties which are expressed as functions of coordinates. The Rayleigh-Ritz variation almost uniformly produces the most accurate expectation values. However the point properties show qualitatively different behaviour for different regions of the coordinate space. To define the local quality, a set of criteria is proposed.