Schrödinger Wave Function for a Free Falling Particle in the Schwarzschild Black Hole

Details Schrödinger Wave Function for a Free Falling Particle in the Schwarzschild Black Hole Schrödinger Wave Function for a Free Falling Particle in the Schwarzschild Black Hole

1997-09-12

arxiv.org/abs/hep-th/9709094v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex format, no figures

Scientific paper

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.

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