N-body Gravity and the Schroedinger Equation
| dc.creator | Farrugia, P. S. | |
| dc.creator | Mann, R. B. | |
| dc.creator | Scott, T. C. | |
| dc.date | 2006-11-27 | |
| dc.date | 2007-09-06 | |
| dc.date.accessioned | 2026-07-07T11:21:33Z | |
| dc.date.available | 2026-07-07T11:21:33Z | |
| dc.description | We consider the problem of the motion of $N$ bodies in a self-gravitating system in two spacetime dimensions. We point out that this system can be mapped onto the quantum-mechanical problem of an N-body generalization of the problem of the H$_{2}^{+}$ molecular ion in one dimension. The canonical gravitational N-body formalism can be extended to include electromagnetic charges. We derive a general algorithm for solving this problem, and show how it reduces to known results for the 2-body and 3-body systems. | |
| dc.description | 15 pages, Latex, references added, typos corrected, final version that appears in CQG | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0611144 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0611144 | |
| dc.identifier | Class.Quant.Grav.24:4647-4660,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/18/006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194295 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | N-body Gravity and the Schroedinger Equation | |
| dc.type | text |