Please use this identifier to cite or link to this item:
|Title:||N-body gravity and the Schrödinger equation|
Mann, Robert B.
Scott, Tony C.
|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.|
|Appears in Collections:||Scholarly Works - FacSciGeo|
Files in This Item:
|186.56 kB||Adobe PDF||View/Open Request a copy|
Items in OAR@UM are protected by copyright, with all rights reserved, unless otherwise indicated.