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arXiv · 1410.0509

Black hole horizons and quantum charged particles

José Luis Jaramillo
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Abstract

We point out a structural similarity between the characterization of black hole apparent horizons as stable marginally outer trapped surfaces (MOTS) and the quantum description of a non-relativistic charged particle moving in given magnetic and electric fields on a closed surface. Specifically, the spectral problem of the MOTS-stability operator corresponds to a stationary quantum particle with a formal fine-structure constant $\alpha$ of negative sign. We discuss how such analogy enriches both problems, illustrating this with the insights into the MOTS-spectral problem gained from the analysis of the spectrum of the quantum charged particle Hamiltonian.

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José Luis Jaramillo. 2014-10-02. Black hole horizons and quantum charged particles. https://doi.org/10.1088/0264-9381/32/13/132001

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