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arXiv · 0803.3571

Stellar Collapse in the Time Dependent Hartree-Fock Approximation

Christian Hainzl·Benjamin Schlein
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Abstract

We prove blow-up in finite time for radially symmetric solutions to the pseudo-relativistic Hartree-Fock equation with negative energy. The non-linear Hartree-Fock equation is commonly used in the physics literature to describe the dynamics of white dwarfs. We extend thereby recent results by Fröhlich and Lenzmann, who established in \cite{FL1,FL2} blow-up for solutions to the pseudo-relativistic Hartree equation. As key ingredient for handling the exchange term we use the conservation of the expectation of the square of the angular momentum operator.

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Christian Hainzl, Benjamin Schlein. 2008-03-25. Stellar Collapse in the Time Dependent Hartree-Fock Approximation. https://doi.org/10.1007/s00220-008-0668-1

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