Relativistic Exchange Bounds
Long Meng, Heinz Siedentop, Matthias Tiefenbeck
TL;DR
This paper investigates the exchange energy in relativistic quantum models, establishing the existence of minimizers and matter stability for the relativistic M"uller functional using collected estimates.
Contribution
It provides new estimates of exchange energy in relativistic models and proves the existence of minimizers and stability of matter within this framework.
Findings
Existence of a minimizer for the relativistic M"uller functional.
Proof of stability of matter in the relativistic setting.
Collected estimates of exchange energy in relativistic models.
Abstract
We collect estimates of the exchange energy of the relativistic no-pair Hartree-Fock and M\"uller functional and use them to show the existence of a minimizer and stability of matter of the relativistic M\"uller functional in the free picture.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories