Schr\"odinger Wave Function for a Free Falling Particle in the Schwarzschild Black Hole
High Energy Physics - Theory
2007-05-23 v1
Abstract
We use the time-dependent invariant method in a geometric approach (Jacobi fields) to quantize the motion of a free falling point particle in the Schwarzschild black hole. Assuming that the particle comes from infinity, we obtain the relativistic Schr\"{o}dinger wave function for this system.
Keywords
Cite
@article{arxiv.hep-th/9709094,
title = {Schr\"odinger Wave Function for a Free Falling Particle in the Schwarzschild Black Hole},
author = {A. C. V. V. de Siqueira and I. A. Pedrosa and E. R. Bezerra de Mello},
journal= {arXiv preprint arXiv:hep-th/9709094},
year = {2007}
}
Comments
13 pages, Latex format, no figures