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https://www.um.edu.mt/library/oar/handle/123456789/50564
Title: | N-body gravity and the Schrödinger equation |
Authors: | Farrugia, Pierre-Sandre Mann, Robert B. Scott, Tony C. |
Keywords: | Quantum gravity Schrodinger equation |
Issue Date: | 2007-08-30 |
Publisher: | IOP Publishing Ltd |
Citation: | Farrugia, P. S., Mann, R. B., & Scott, T. C. (2007). N-body gravity and the Schrödinger equation. Classical and Quantum Gravity, 24(18), 4647. |
Abstract: | 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. |
URI: | https://www.um.edu.mt/library/oar/handle/123456789/50564 |
Appears in Collections: | Scholarly Works - FacSciGeo |
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