Relativistic stability of matter (I).

Charles L. Fefferman; Rafael de la Llave

Revista Matemática Iberoamericana (1986)

  • Volume: 2, Issue: 1-2, page 119-213
  • ISSN: 0213-2230

Abstract

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In this article, we study the quantum mechanics of N electrons and M nuclei interacting by Coulomb forces. Motivated by an important idea of Chandrasekhar and following Herbst [H], we modify the usual kinetic energy -∆ to take into account an effect from special relativity. As a result, the system can implode for unfavorable values of the nuclear charge Z and the fine structure constant α. This is analogous to the gravitational collapse of a heavy star. Our goal here is to find those values of α and Z for which the system is stable.

How to cite

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Fefferman, Charles L., and Llave, Rafael de la. "Relativistic stability of matter (I).." Revista Matemática Iberoamericana 2.1-2 (1986): 119-213. <http://eudml.org/doc/39306>.

@article{Fefferman1986,
abstract = {In this article, we study the quantum mechanics of N electrons and M nuclei interacting by Coulomb forces. Motivated by an important idea of Chandrasekhar and following Herbst [H], we modify the usual kinetic energy -∆ to take into account an effect from special relativity. As a result, the system can implode for unfavorable values of the nuclear charge Z and the fine structure constant α. This is analogous to the gravitational collapse of a heavy star. Our goal here is to find those values of α and Z for which the system is stable.},
author = {Fefferman, Charles L., Llave, Rafael de la},
journal = {Revista Matemática Iberoamericana},
keywords = {Mecánica cuántica; Problemas de muchos cuerpos; Interacción nuclear; Electrones; Estabilidad; Implosión; Teoría de la relatividad; Masa crítica; many body quantum theory; relativistic stability of matter; Coulomb interaction},
language = {eng},
number = {1-2},
pages = {119-213},
title = {Relativistic stability of matter (I).},
url = {http://eudml.org/doc/39306},
volume = {2},
year = {1986},
}

TY - JOUR
AU - Fefferman, Charles L.
AU - Llave, Rafael de la
TI - Relativistic stability of matter (I).
JO - Revista Matemática Iberoamericana
PY - 1986
VL - 2
IS - 1-2
SP - 119
EP - 213
AB - In this article, we study the quantum mechanics of N electrons and M nuclei interacting by Coulomb forces. Motivated by an important idea of Chandrasekhar and following Herbst [H], we modify the usual kinetic energy -∆ to take into account an effect from special relativity. As a result, the system can implode for unfavorable values of the nuclear charge Z and the fine structure constant α. This is analogous to the gravitational collapse of a heavy star. Our goal here is to find those values of α and Z for which the system is stable.
LA - eng
KW - Mecánica cuántica; Problemas de muchos cuerpos; Interacción nuclear; Electrones; Estabilidad; Implosión; Teoría de la relatividad; Masa crítica; many body quantum theory; relativistic stability of matter; Coulomb interaction
UR - http://eudml.org/doc/39306
ER -

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