A Kohn-Sham system at zero temperature

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dc.creatorCornean, Horia
dc.creatorHoke, Kurt
dc.creatorNeidhardt, Hagen
dc.creatorRacec, Paul N.
dc.creatorRehberg, Joachim
dc.date2008-01-17
dc.date.accessioned2026-07-07T12:28:11Z
dc.date.available2026-07-07T12:28:11Z
dc.descriptionAn one-dimensional Kohn-Sham system for spin particles is considered which effectively describes semiconductor {nano}structures and which is investigated at zero temperature. We prove the existence of solutions and derive a priori estimates. For this purpose we find estimates for eigenvalues of the Schrödinger operator with effective Kohn-Sham potential and obtain $W^{1,2}$-bounds of the associated particle density operator. Afterwards, compactness and continuity results allow to apply Schauder's fixed point theorem. In case of vanishing exchange-correlation potential uniqueness is shown by monotonicity arguments. Finally, we investigate the behavior of the system if the temperature approaches zero.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0801.2693
dc.identifierhttp://arxiv.org/abs/0801.2693
dc.identifierJ. Phys. A: Math. Theor. 41 385304 (2008)
dc.identifierdoi:10.1088/1751-8113/41/38/385304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215454
dc.subjectMathematical Physics
dc.subject34L40, 34L30, 47H05, 81V70
dc.titleA Kohn-Sham system at zero temperature
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