On the minimizer of the Thomas-Fermi-Dirac-von Weizs?cker model

Conference of Theoretical Physics and Nonlinear Phenomena 2014: "From Universe to String's Scale"

Wahyuni, S.^1,2 ; Dwandaru, W.S.B.^3 ; Rosyid, M.F.^1

Kelompok Penelitian Kosmologi, Astrofisika, Dan Fisika Matematik (KAM), Jurusan Fisika FMIPA Universitas Gadjah Mada, Yogyakarta, Indonesia^1

Jurusan Fisika FMIPA Universitas Negeri Semarang, Indonesia^2

Jurusan Fisika FMIPA Universitas Negeri Yogyakarta, Indonesia^3

关键词: Energy functionals;    Euler-Lagrange equations;    External potential;    Thomas-Fermi;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/539/1/012015/pdf
DOI  :  10.1088/1742-6596/539/1/012015

来源: IOP

【 摘 要 】

The energy functional of Thomas-Fermi-Dirac-von Weizsäcker model with external potential is studied. The minimizer for the functional is investigated. Furthermore, the value and some properties of the minimizer are estimated from the functional without solving the associate Euler-Lagrange equation.