RELATIVISTIC CORRECTIONS OF THE α2-ORDER FOR THE TOTAL ENERGY AND THE MINIMUM PRESSURE IN THE THOMAS

RELATIVISTIC CORRECTIONS OF THE α2-ORDER FOR THE TOTAL ENERGY AND THE MINIMUM PRESSURE IN THE THOMAS–FERMI THEORY

Published:2002-10-20 Issue:23n24 Volume:16 Page:901-906
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

TARASOV V. F.¹

Affiliation:

1. Department of Mathematics, The Bryansk State Technical University (BSTU), 241035, Russia

Abstract

The total relativistic kinetic energy of the Thomas–Fermi atom is Ekr = Ek + Er, where Ek = κk ∫ ρ5/3dv and Er = -κr ∫ ρ7/3dv + o(α2), [Formula: see text]. The minimum pressure of a relativistic degenerate electron gas is [Formula: see text]. In just the same way, the cases x = pμ / mc = 1 and x > 1 are explicitly considered.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984902004378

Reference20 articles.

1. The calculation of atomic fields

2. Eine statistische Methode zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendung auf die Theorie des periodischen Systems der Elemente

3. Note on Exchange Phenomena in the Thomas Atom

4. Anwendung der Pauli-Fermischen Elektronengastheorie auf das Problem der Koh�sionskr�fte

5. The Relativistic Thomas-Fermi Atom

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1. THE THOMAS–FERMI–GOMBÁS ATOM MODELS IN WHICH THE ELECTRONS ARE GROUPED INTO n- AND nl-SHELLS AND A CALCULATION OF THE ATOMIC FORM FACTOR;International Journal of Modern Physics B;2004-01-30