Quantum Electron Clouds near Black Holes: Black Atoms and Molecules

Fuente: arXiv
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Autori principali: Iseki, Hinako, Sasaki, Shin, Shiozawa, Kenta
Natura: Preprint
Pubblicazione: 2025
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author Iseki, Hinako
Sasaki, Shin
Shiozawa, Kenta
author_facet Iseki, Hinako
Sasaki, Shin
Shiozawa, Kenta
contents We study quantum mechanical wavefunctions near highly curved spaces, i.e., black holes. By utilizing the formalism developed by DeWitt, we derive the Schrödinger equations in the vicinity of the Schwarzschild and the Reissner-Nordström black hole geometries. The quantum electron cloud for the "black hydrogen atom" - an electron trapped by black holes - is particularly studied. We solve the equations and find that black holes generally attract the wavefunctions, localizing them near the horizon where the electrons are most likely to be trapped. These results imply that not only classical objects but also the quantum material and even the chemical properties of the atoms are affected by strong gravity. We also discuss black hydrogen molecules composed of multi-centered Majumdar-Papapetrou black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2511_11173
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Electron Clouds near Black Holes: Black Atoms and Molecules
Iseki, Hinako
Sasaki, Shin
Shiozawa, Kenta
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
We study quantum mechanical wavefunctions near highly curved spaces, i.e., black holes. By utilizing the formalism developed by DeWitt, we derive the Schrödinger equations in the vicinity of the Schwarzschild and the Reissner-Nordström black hole geometries. The quantum electron cloud for the "black hydrogen atom" - an electron trapped by black holes - is particularly studied. We solve the equations and find that black holes generally attract the wavefunctions, localizing them near the horizon where the electrons are most likely to be trapped. These results imply that not only classical objects but also the quantum material and even the chemical properties of the atoms are affected by strong gravity. We also discuss black hydrogen molecules composed of multi-centered Majumdar-Papapetrou black holes.
title Quantum Electron Clouds near Black Holes: Black Atoms and Molecules
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2511.11173