Kanellopoulos, Vassiliki and Kleber, Manfred and Kramer, Tobias (2009) Use of Lambert's theorem for the n-dimensional Coulomb problem. PHYSICAL REVIEW A, 80 (1): 012101. ISSN 1050-2947,
Full text not available from this repository.Abstract
We present the analytical solution in closed form for the semiclassical limit of the quantum-mechanical Coulomb Green's function in position space in n dimensions. We utilize a projection method which has its roots in Lambert's theorem and which allows us to treat the system as an essentially one-dimensional problem. The semiclassical result assumes a simple analytical form and is well suited for a numerical evaluation. The method can also be extended to classically forbidden space regions. Already for moderately large principal quantum numbers nu >= 5, the semiclassical Green's function is found to be an excellent approximation to the quantum-mechanical Green's function.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GREENS-FUNCTION; APPROXIMATION; HYDROGEN; SPACE; ATOM; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Tobias Kramer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Sep 2020 05:18 |
| Last Modified: | 14 Sep 2020 05:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28789 |
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