Mass splitting in the Thomas–Fermi–Dirac–von Weizsäcker model with background potential

DOI10.1063/1.5130565zbMath1439.81095arXiv1910.02104OpenAlexW3005243540MaRDI QIDQ5110728

Lia Bronsard, Lorena Aguirre Salazar, Stanley Alama

Publication date: 22 May 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02104

zbMATH Keywords

potential theorycalculus of variationspartial differential equationsfunctional analysismathematical optimizationmany body systemsenergy systemelectronic configuration

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Gravitational interaction in quantum theory (81V17) Many-body theory; quantum Hall effect (81V70) Optimality conditions for minimax problems (49K35) Variational principles of physics (49S05)

Related Items (1)

Convergence of the TFDW Energy to the Liquid Drop Model

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• Elliptic partial differential equations of second order
• Nonexistence in Thomas-Fermi-Dirac-von Weizsäcker theory with small nuclear charges
• Solutions of Hartree-Fock equations for Coulomb systems
• Some results on the Thomas-Fermi-Dirac-von Weizsäcker model
• Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model
• Nonconvex minimization problems
• Thomas-fermi and related theories of atoms and molecules
• Ground-states for the liquid drop and TFDW models with long-range attraction
• The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory
• Droplet breakup in the liquid drop model with background potential
• Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp-Interface Functional
• Variational Methods

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