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The time-dependent Hartree-Fock equations with Coulomb two-body interaction

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The existence and uniqueness of global solutions to the Cauchy problem is proved in the space of “smooth” density matrices for the time-dependent Hartree-Fock equations describing the motion of finite Fermi systems interacting via a Coulomb two-body potential.

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References

  1. Bove, A., Da Prato, G., Fano, G.: An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction. Commun. math. Phys.37, 183 (1974)

    Google Scholar 

  2. Chadam, J., Glassey, R.: Global existence of solutions to the Cauchy problem for time dependent Hartree equations. J. Math. Phys.16, 1122 (1975)

    Google Scholar 

  3. Schatten, R.: Norm ideals of completely continuous operators. Berlin-Göttingen-Heidelberg: Springer 1960

    Google Scholar 

  4. Segal, I.: Nonlinear semigroups. Ann. Math.78, 339 (1963)

    Google Scholar 

  5. Bers, L., John, F., Schecter, M.: Partial differential equations. New York: Interscience 1964

    Google Scholar 

  6. Friedman, A.: Partial differential equations. New York, etc.: Holt, Rinehart, Winston 1969

    Google Scholar 

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Communicated by W. Hunziker

On leave of absence from Mathematics Department, Indiana University, Bloomington, Indiana 47401, USA.

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Chadam, J.M. The time-dependent Hartree-Fock equations with Coulomb two-body interaction. Commun.Math. Phys. 46, 99–104 (1976). https://doi.org/10.1007/BF01608490

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  • DOI: https://doi.org/10.1007/BF01608490

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