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
Iteration of the many-particle schrödinger equation in momentum space
✍ Scribed by John Avery; Peter Sommer-Larsen
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 272 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
The Cauchy problem for the nonlinear Schro dinger equations is considered in the Sobolev space H nÂ2 (R n ) of critical order nÂ2, where the embedding into L (R n ) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the ex
## Abstract We study the dispersive properties of the Schrödinger equation. Precisely, we look for estimates which give a control of the local regularity and decay at infinity __separately__. The Banach spaces that allow such a treatment are the Wiener amalgam spaces, and Strichartz‐type estimates