Weak interaction limit for nuclear matter and the time-dependent Hartree-Fock equation

DOI10.1007/s10492-010-0008-6zbMath1224.81018OpenAlexW2088940118MaRDI QIDQ622851

Bernard Ducomet

Publication date: 11 February 2011

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37844

zbMATH Keywords

nuclear mattertime-dependent Hartree-Fock equation

Mathematics Subject Classification ID

Nuclear physics (81V35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70)

Cites Work

• A microscopic derivation of the time-dependent Hartree-Fock equation with Coulomb two-body interaction
• An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction
• Mean field dynamics of fermions and the time-dependent Hartree-Fock equation
• Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem
• Weak coupling limit of the \(N\)-particle Schrödinger equation
• The TDHF approximation for Hamiltonians with \(m\)-particle interaction potentials
• Hartree-Fock theory in nuclear physics
• Fundamental Properties of Hamiltonian Operators of Schrodinger Type
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