It is shown that a generalization of the Fourier convolution theorem can be used to iterate solutions of the many-particle Schrijdinger equation in momentum space. The method is developed both with ordinary coordinates and with hyperspherical coordinates, and as an illustration it is applied to elec
Fully numerical solutions of the molecular Schrödinger equation in momentum space
✍ Scribed by Wilfredo Rodriguez; Yasuyuki Ishikawa
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 277 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
✦ Synopsis
Using the Hi ion as an example, we discuss a fully numerical approach to the solution of the Hartree-Fock equation in momentum space which ensures accurate and stable solutions for polyatomic molecules. We made use of a "tangential" grid to solve the problems of truncation of momentum space and the lack of an appropriate discretization procedure, which currently limit the widespread applicability of this approach.
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