Iteration scheme for the solution of the two-dimensional Schrödinger-Poisson equations in quantum structures
✍ Scribed by Trellakis, A.; Galick, A. T.; Pacelli, A.; Ravaioli, U.
- Book ID
- 118733901
- Publisher
- American Institute of Physics
- Year
- 1997
- Tongue
- English
- Weight
- 369 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0021-8979
- DOI
- 10.1063/1.365396
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## Abstract The solution of the two‐dimensional time‐independent Schrödinger equation is considered by partial discretization. The discretized problem is treated as an ordinary differential equation problem and solved numerically by asymptotically symplectic methods. The problem is then transformed
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