Schrödinger Wave Function for a Free Falling Particle in the Schwarzschild Black Hole
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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 Schrödinger wave function for this system.
13 pages, Latex format, no figures
13 pages, Latex format, no figures