Asymptotics for bosonic atoms

DOI10.1007/BF00398282zbMath0712.35075OpenAlexW2147718874WikidataQ59255856 ScholiaQ59255856MaRDI QIDQ923830

Jan Philip Solovej

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00398282

zbMATH Keywords

critical electron number

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (11)

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 ⋮ New bounds on the maximum ionization of atoms ⋮ Bogoliubov Spectrum of Interacting Bose Gases ⋮ Many-body blow-up profile of boson stars with external potentials ⋮ 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

• Bound on the ionization energy of large atoms
• Asymptotic neutrality of large ions
• 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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