Schrödinger–Riccati equation: Feasibility study for the He-isoelectronic series.

Bibliographic Details
Title: Schrödinger–Riccati equation: Feasibility study for the He-isoelectronic series.
Authors: Fraga, Serafin1,2 (AUTHOR), García De La Vega, José M.1,2 (AUTHOR) garcia.delavega@uam.es, Fraga, Eric S.3 (AUTHOR)
Source: International Journal of Quantum Chemistry. 2006, Vol. 106 Issue 2, p458-464. 7p. 2 Charts, 6 Graphs.
Subject Terms: *SCHRODINGER equation, *RICCATI equation, *STATISTICS, *QUANTITATIVE research, *DIFFERENTIAL equations, *PARTIAL differential equations
Abstract (English): The Schrödinger–Riccati equation has been applied to the study of some systems of the He-isoelectronic series. The statistical analysis of the local ratios of the predicted function over an accurate function yields, with a sample mean of 1.000, the following confidence intervals (at a 99% level of confidence) for the true population means: He I, 0.0013 (for 24,896 points); Li II, 0.0015 (for 29,354 points); Be III, 0.0018 (for 31,290 points); C V, 0.0024 (for 28,639 points); and O VII, 0.0058 (for 23,784 points). © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006 [ABSTRACT FROM AUTHOR]
Abstract (German): The Schrödinger–Riccati equation has been applied to the study of some systems of the He‐isoelectronic series. The statistical analysis of the local ratios of the predicted function over an accurate function yields, with a sample mean of 1.000, the following confidence intervals (at a 99% level of confidence) for the true population means: He I, 0.0013 (for 24,896 points); Li II, 0.0015 (for 29,354 points); Be III, 0.0018 (for 31,290 points); C V, 0.0024 (for 28,639 points); and O VII, 0.0058 (for 23,784 points). © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006 [ABSTRACT FROM AUTHOR]
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ISSN:00207608
DOI:10.1002/qua.20762
Published in:International Journal of Quantum Chemistry
Language:English