The propagation of the solution to the time-dependent Schrijdinger equation using grid methods has been investigated. The convergence of reaction probabilities with respect to the grid size as well as the efficiency of different propagation schemes (Chebyshev, Lanczos) and kinetic energy evaluation
On the use of grid methods for the solution of reactive scattering problems in hyperspherical coordinates
β Scribed by Nikola Markovic; Gert D. Billing; James T. Muckerman
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 817 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
We have applied the fast-Fourier-transform (FFT) method for propagating the solution of the timedepcndent Schriidinger equation for a reactive atom-diatom collision in hyperspkrical coordinates. Iithe present paper the dimensionaliv of the quantum subspace is reduced to two by introducing a semiclassical approximation, but extension to three or four dimensions is straightforward.
π SIMILAR VOLUMES
## Quantum-mechanical nonreactive and reactive scattering probab$ti<s determined by two independent numerical methods for the collinear H + H2 reaction on a realistic potent&l-energy surface are iri very goad agreement. The results,therefore provide a reliable touchstone far other independent calc