Astrophysical processes in vicinity of black holes involve a coupling of spacetime geometry and the quantum effects. Using the quantum potential approach we investigate the quantum dynamics of a massive particle around a Schwarzschild black hole. The analysis shows the existence of typical quantum effects near the black hole region. In particular the R-amplitude variation leads to the formation of fringe-like trapping regions around the black hole where the particle is more likely to be located. However due to the energy loss, which gains a local maxima in the trapping regions, the particle in-fall eventually occurs. The energy loss during such a process will show up in frequency and amplitude modulation in X-ray signals from accreting black holes and may confirm the existence of such trapping regions. © 2010 Elsevier B.V. All rights reserved.
Mirza, B. M. (2010). Quantum interference and the formation of trapping regions around a Schwarzschild black hole. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 688(4–5), 281–283. https://doi.org/10.1016/j.physletb.2010.04.018