Local properties of three-body atomic wave functions

The local properties and accuracy of the positronium negative-ion (Ps{sup -}) ground-state wave functions obtained by the stochastic variational method (SVM) and by direct solution of the Schroedinger equation with the help of the correlation-function hyperspherical-harmonic method (CFHHM) are studi...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2000-06, Vol.61 (6), Article 062503
Main Authors: Krivec, R., Mandelzweig, V. B., Varga, K.
Format: Article
Language:English
Subjects:
ACCURACY
ATOMIC AND MOLECULAR PHYSICS
CORRELATION FUNCTIONS
GROUND STATES
HARMONICS
POSITRONIUM
QUANTUM OPERATORS
THEORETICAL DATA
VARIATIONAL METHODS
WAVE FUNCTIONS
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Summary:The local properties and accuracy of the positronium negative-ion (Ps{sup -}) ground-state wave functions obtained by the stochastic variational method (SVM) and by direct solution of the Schroedinger equation with the help of the correlation-function hyperspherical-harmonic method (CFHHM) are studied and compared. Though the energy, calculated by both methods, agrees to up to ten digits, the amplitudes of the values of the operator D=H{psi}/E{psi}-1, characterizing local deviation of the wave function from its true value, in all of the coordinate space in the SVM are consistently larger (by up to five orders of magnitude) than in the CFHHM, despite the fact that the SVM observables except converge to significantly more digits than the CFHHM observables for their respective selected bases. (c) 2000 The American Physical Society.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.61.062503