Ionization energies of bosonic Coulomb systems

DOI10.1007/BF00401648zbMath0725.47049MaRDI QIDQ2276741

Volker Bach

Publication date: 1991

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

zbMATH Keywords

ionization energiesatomic and molecular systems with fixed nuclei where the electrons are assumed to be bosonslimit of large particle numbers

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50)

Related Items (12)

Absence of a ground state for bosonic Coulomb systems with critical charge ⋮ Monotonicity of quantum ground state energies: Bosonic atoms and stars ⋮ The semi-classical limit of large fermionic systems ⋮ The mean-field limit of quantum Bose gases at positive temperature ⋮ Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\) ⋮ Derivation of Hartree's theory for generic mean-field Bose systems ⋮ Binding energy of homogeneous Bose gases ⋮ Bogoliubov Spectrum of Interacting Bose Gases ⋮ Unnamed Item ⋮ The Hartree limit of Born's ensemble for the ground state of a bosonic atom or ion ⋮ Bose gases in the mean-field regime: the theories of Hartree and Bogoliubov ⋮ On the number of bound states of a bosonic \(N\)-particle Coulomb system

Cites Work

• Unnamed Item
• Bound on the ionization energy of large atoms
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• On Thomas-Fermi-von Weizsacker and Hartree energies as functions of the degree of ionisation
• Thomas-fermi and related theories of atoms and molecules

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