Binding of atoms and stability of molecules in hartree and thomas-fermi type theories.

DOI10.1080/03605309308820935zbMath0797.46053OpenAlexW4319706237MaRDI QIDQ4203501

Pierre-Louis Lions, Isabelle Catto

Publication date: 5 September 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820935

zbMATH Keywords

moleculesionsbinding of atomsHartree and Thomas-Fermi type theoriesstability of general molecular systemsThomas-Fermi-Dirac-von Weizäcker models

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Molecular physics (81V55)

Related Items

Born-Oppenheimer potential energy surfaces for Kohn-Sham models in the local density approximation ⋮ Computing a molecule: A mathematical viewpoint ⋮ Positive and sign-changing least energy solutions for a fractional Schrödinger–Poisson system with critical exponent ⋮ Binding of atoms in Müller theory ⋮ The nonlinear Schrödinger equation for orthonormal functions: existence of ground states ⋮ From atoms to crystals: a mathematical journey ⋮ Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces ⋮ The diatomic Hartree model at dissociation ⋮ Binding of atoms and stability of molecules in hartree and thomas-fermi type theories.

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