Schr\"odinger 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

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classification ✦ hep-th

keywords particleblackfallingfreefunctionholeschrschwarzschild

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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 Schr\"{o}dinger wave function for this system.

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Schr\"odinger Wave Function for a Free Falling Particle in the Schwarzschild Black Hole

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