 0861 Christian Hainzl, Benjamin Schlein
 Stellar Collapse in the Time Dependent HartreeFock Approximation
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Mar 25, 08

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Abstract. We prove blowup in finite time for radially symmetric solutions to the pseudorelativistic HartreeFock equation with negative energy. The nonlinear HartreeFock equation is commonly used in the physics literature to describe the dynamics of white dwarfs. We extend thereby recent results by Froehlich and Lenzmann, who established in [3,4] blowup for solutions to the pseudorelativistic 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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