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pro vyhledávání: '"Local-density approximation"'
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We prove that the lowest free energy of a classical interacting system at temperature $T$ with a prescribed density profile $\rho(x)$ can be approximated by the local free energy $\int f_T(\rho(x))dx$, provided that $\rho$ varies slowly over sufficie
Externí odkaz:
http://arxiv.org/abs/2310.18028
Autor:
Gould, Tim, Pittalis, Stefano
The ground state of an homogeneous electron gas is a paradigmatic state that has been used to model and predict the electronic structure of matter at equilibrium for nearly a century. For half a century, it has been successfully used to predict groun
Externí odkaz:
http://arxiv.org/abs/2306.04023
Publikováno v:
Eur. Phys. J. A 59, 164 (2023)
A semiclassical second-order differential equation for the inhomogeneous local gap $\Delta(r)$ is derived from a strict second-order $\hbar$ expansion of the anomalous pairing tensor and compared with a similar equation given by Simonucci et al. The
Externí odkaz:
http://arxiv.org/abs/2306.01472
Autor:
Fan, Xiao-Hua, Yang, Zu-Xing, Yin, Peng, Chen, Peng-Hui, Dong, Jian-Min, Li, Zhi-Pan, Liang, Haozhao
We adapt the local density approximation to add the high-momentum tails (HMTs) to finite nuclei's Slater-determinant momentum distributions. The HMTs are extracted by the extended Brueckner-Hartree-Fock (EBHF) method or by the lowest order cluster ap
Externí odkaz:
http://arxiv.org/abs/2210.05957
Publikováno v:
Phys. Rev. A 106, 053309 (2022)
The local density approximation (LDA) is the central technical tool in the modeling of quantum gases in trapping potentials. It consists in treating the gas as an assembly of independent mesoscopic fluid cells at equilibrium with a local chemical pot
Externí odkaz:
http://arxiv.org/abs/2204.05658
Publikováno v:
Phys. Rev. Lett. 129, 153001 (2022)
The large-$Z$ asymptotic expansion of atomic energies has been useful in determining exact conditions for corrections to the local density approximation in density functional theory. The correction for exchange is fit well with a leading $Z \ln Z$ te
Externí odkaz:
http://arxiv.org/abs/2204.01030
Autor:
Naito, Tomoya
Publikováno v:
Prog. Theor. Exp. Phys. 2022, 093D04 (2022)
Effects of the relativistic correction of the Coulomb interaction on doubly-magic nuclei are discussed with Skyrme Hartree--Fock calculations. The relativistic correction is treated by using the local density approximation. It is found that the corre
Externí odkaz:
http://arxiv.org/abs/2106.14270
Autor:
Goto, Yukimi
Publikováno v:
Annales Henri Poincar\'e 23, 1765-1790 (2022)
We show that the Born-Oppenheimer potential energy surface in Kohn-Sham theory behaves like the corresponding one in Thomas-Fermi theory up to $o(R^{-7})$ for small nuclear separation $R$. We also prove that if a minimizing configuration exists, then
Externí odkaz:
http://arxiv.org/abs/2104.09057
Publikováno v:
Comput. Phys. Commun. 269, 108130 (2021)
Nuclear implementation of the density functional theory (DFT) is at present the only microscopic framework applicable to the whole nuclear landscape. The extension of DFT to superfluid systems in the spirit of the Kohn-Sham approach, the superfluid l
Externí odkaz:
http://arxiv.org/abs/2009.00745