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Uses of approximate wave functions

✍ Scribed by Charles Schwartz

Publisher
Elsevier Science
Year
1959
Tongue
English
Weight
341 KB
Volume
6
Category
Article
ISSN
0003-4916

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πŸ“œ SIMILAR VOLUMES

On the normalization of wave functions f
On the normalization of wave functions for bound states in a single-well potential when certain phase-integral approximations of arbitrary order are used
✍ Per Olof FrΓΆman πŸ“‚ Article πŸ“… 1974 πŸ› Elsevier Science 🌐 English βš– 478 KB

Simple final formulae are obtained for the normalization factors of wavefunctions for bound states in a one-dimensional, single-well potential, when use is made of certain arbitrary-order phase-integral approximations, which may be modified in a convenient way.

Approximation by herglotz wave functions
Approximation by herglotz wave functions
✍ Norbert Weck πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 86 KB

## Abstract By a general argument, it is shown that Herglotz wave functions are dense (with respect to the C^∞^(Ξ©)‐topology) in the space of all solutions to the reduced wave equation in Ξ©. This is used to provide corresponding approximation results in global spaces (eg. in L2‐Sobolev‐spaces __H__^

Asymptotics for the Approximation of Wav
Asymptotics for the Approximation of Wave Functions by Exponential-Sums
✍ D. Braess πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 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