On a center-of-mass system of coordinates for symmetric classical and quantum many-body problems

DOI10.1063/1.5119131zbMath1430.81102arXiv1907.00108OpenAlexW3104345542WikidataQ126785545 ScholiaQ126785545MaRDI QIDQ5206036

Érik Amorim

Publication date: 17 December 2019

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

Full work available at URL: https://arxiv.org/abs/1907.00108

zbMATH Keywords

Pauli exclusion principleHartree-Fock theoryJacobi coordinates(anti)symmetric ground statesbreaking and restoration of permutation symmetry in many-body problemscenter-of-mass system of coordinatesquantum ground states of bosonic atoms and stars

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) (n)-body problems (70F10) Bosonic systems in quantum theory (81V73) Particle exchange symmetries in quantum theory (general) (81V72)

Cites Work

• Unnamed Item
• A remark on the ground state energy of bosonic atoms
• Monotonicity of quantum ground state energies: Bosonic atoms and stars
• The Hartree limit of Born's ensemble for the ground state of a bosonic atom or ion
• The stability of matter: from atoms to stars
• Proof of the Symmetrization Postulate

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