Schrödinger Wave Function for a Free Falling Particle in the Schwarzschild Black Hole
A. C. V. V. de Siqueira, I. A. Pedrosa, E. R. Bezerra de Mello
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 Schrödinger wave function for this system.
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