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Approximation of bandlimited functions by finite exponential sums

โœ Scribed by S. Norvidas

Publisher
Springer
Year
2009
Tongue
English
Weight
111 KB
Volume
49
Category
Article
ISSN
0363-1672

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Asymptotics for the Approximation of Wave Functions by Exponential-Sums
โœ D. Braess ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 285 KB

When studying the approximation of the wave functions of the \(H\)-atom by sums of Gaussians, Klopper and Kutzelnigg [KK] and Kutzelnigg [Ku] found an asymptotic of \(\exp [-\gamma \sqrt{n}]\). The results were obtained from numerical results and justified by some asymptotic expansions in quadrature