@inbook{c859b0dc56e6440d9995fb6f70cd0c5b,
title = "Which Nuclear Shape Generates the Strongest Attraction on a Relativistic Electron? An Open Problem in Relativistic Quantum Mechanics",
abstract = "In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operator with an external electrostatic potential. The latter describes a relativistic quantum electron moving in the field of some (pointwise or extended) nuclei. The main question we ask is whether the eigenvalue is minimal when the nuclear charge is concentrated at one single point. This well-known property in non-relativistic quantum mechanics has escaped all attempts of proof in the relativistic case.",
author = "Esteban, \{Maria J.\} and Mathieu Lewin and {\'E}ric S{\'e}r{\'e}",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2023",
month = jan,
day = "1",
doi = "10.1007/978-3-031-12244-6\_34",
language = "English",
series = "Lecture Notes in Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "487--497",
booktitle = "Lecture Notes in Mathematics",
}