ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

Hits per page

hit 1 - 1 | 1 hit

Select All Export

Electronic Resource

Spin-polarized Thomas–Fermi theory (1988)

Goldstein, Jerome A. ; Ruiz Rieder, Gisèle

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 29 (1988), S. 709-716

add to mindlist on the mindlist

Details

ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Of concern is a rigorous Thomas–Fermi theory of electron densities for spin-polarized quantum-mechanical systems. The number N↑, N↓ of spin-up and spin-down electrons are specified in advance, and one seeks to minimize the energy functional E(ρ↑,ρ↓) =c1∫R3(ρ↑(x)5/3 +ρ↓(x)5/3)dx +c2∫R3∫R3[ρ(x)ρ(y)/||x −y||]dx dy +∫R3V(x)ρ(x)dx, where c1, c2 are given positive constants, ρ↑ and ρ↓ are non-negative functions, ρ=ρ↑ +ρ↓ is the total electron density, ∫R3ρ↑(x)dx =N↑, ∫R3ρ↓(x)dx =N↓, and V is a given potential. These results are analogous to the classical rigorous (spin-unpolarized) Thomas–Fermi theory developed by Lieb and Simon [Phys. Rev. Lett. 33, 681 (1973)] and by Bénilan and Brezis ("The Thomas–Fermi problem,'' in preparation).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.528011

	Location	Call Number	Expected	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit