Nbody gravity and the Schrödinger equation
Abstract
We consider the problem of the motion of N bodies in a selfgravitating system in two spacetime dimensions. We point out that this system can be mapped onto the quantum mechanical problem of an Nbody generalization of the problem of the H^{+}_{2} molecular ion in one dimension. The canonical gravitational Nbody 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 2body and 3body systems.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 September 2007
 DOI:
 10.1088/02649381/24/18/006
 arXiv:
 arXiv:grqc/0611144
 Bibcode:
 2007CQGra..24.4647F
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 15 pages, Latex