Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential
Published in Journal of Mathematical Physics, 2020
Recommended citation: L. Aguirre Salazar, S. Alama, and L. Bronsard (2020). " Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential " Journal of Mathematical Physics 61 021502. https://doi.org/10.1063/1.5130565
We consider minimization problems of the Thomas–Fermi–Dirac–von Weizsäcker (TFDW) type in which the Newtonian potential is perturbed by a background potential satisfying mild conditions, which ensures the existence of minimizers. We describe the structure of minimizing sequences for those variants and obtain a more precise characterization of patterns in minimizing sequences for the TFDW functionals regularized by long-range perturbations.
Recommended citation: L. Aguirre Salazar, S. Alama, and L. Bronsard (2020). " Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential " Journal of Mathematical Physics 61 021502.