Local properties of three-body atomic wave functions
Creators
- 1. Department of Theoretical Physics, J. Stefan Institute, P.O. Box 3000, 1001 Ljubljana, (Slovenia)
- 2. Racah Institute of Physics, Hebrew University, Jerusalem 91904, (Israel)
- 3. Physics Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439 (United States)
Description
The local properties and accuracy of the positronium negative-ion (Ps-) 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=HΨ/EΨ-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 <δ(rk)> converge to significantly more digits than the CFHHM observables for their respective selected bases. (c) 2000 The American Physical Society
Additional details
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 61
- Journal Issue
- 6
- Journal Page Range
- p. 062503-062503.8
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 32060200
- Subject category
- S74: ATOMIC AND MOLECULAR PHYSICS;
- Resource subtype / Literary indicator
- Numerical Data
- Descriptors DEI
- ACCURACY; CORRELATION FUNCTIONS; GROUND STATES; HARMONICS; POSITRONIUM; QUANTUM OPERATORS; THEORETICAL DATA; VARIATIONAL METHODS; WAVE FUNCTIONS
- Descriptors DEC
- CALCULATION METHODS; DATA; ENERGY LEVELS; FUNCTIONS; INFORMATION; MATHEMATICAL OPERATORS; NUMERICAL DATA; OSCILLATIONS
- Proposed descriptors and Free-text terms
- negative ions; variational techniques; correlation methods