✦ LIBER ✦
Expansion of the TDHF-density matrix into Gaussian phase-space densities and application to atomic collisions: Eberhard Teubner, Norbert Grün, and Werner Scheid. Institut für Theoretische Physik der Justus-Liebig-Universität, Giessen, Germany
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 69 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
A method for solving the TDHF-equation for the one-particle density matrix is suggested. The density matrix is expanded into Gaussian phase-space densities after a transformation to Wigner space. If the Hartree potential is approximated by a quadratic potential at the centers of the Gaussian density matrices, classical equations of motion are obtained for the phase-space coordinates of the centers. In addition, differential equations of first order have to be solved for the time-dependent expansion coefficients. We give explicit formulae of our method for the case of two colliding atoms (or ions).
Semiclassical
Calculation of Matrix