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Lowering the Hartree–Fock Minimizer by Electron–Positron Pair Correlation

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Abstract

We prove by a simple computation that a suitable coupling to the positronic sector lowers the energy of the purely electronic minimizer of the electron–positron Hartree–Fock functional.

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References

  1. Bach, V., Barbaroux, J.M., Helffer, B. and Siedentop, H.: Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field, Documenta Math.3 (1998), 353–364.

    Google Scholar 

  2. Bach, V., Barbaroux, J.-M., Helffer, B. and Siedentop, H.: On the stability of the relativistic electron-positron field, Comm.Math.Phys. 201 (1999), 445–460.

    Google Scholar 

  3. Barbaroux, J.-M., Esteban, M. J. and S´er´e, E.: Some connections between Dirac-Fock and electron-positron Hartree-Fock, arXiv:math-ph/0402058.

  4. Barbaroux, J.M., Farkas, E. W., Helffer, B. and Siedentop, H.: On the Hartree-Fock equations of the electron-positron field, to be published in Comm.Math.Phys., arXiv:math-ph/0404009.

  5. Chaix, P. and Iracane, D.: From quantum electrodynamics to mean-field theory: I. The Bogoliubov-Dirac-Fock formalism, J.Phys.B 22(23) (1989), 3791–3814.

    Google Scholar 

  6. Chaix, P., Iracane, D. and Lions, P. L.: From quantum electrodynamics to mean-field theory: II. Variational stability of the vacuum of quantum electrodynamics in the mean-field approximation, J.Phys.B 22(23) (1989), 3815–3828.

    Google Scholar 

  7. Esteban, M. J. and S´er´e, E.: Solutions of the Dirac-Fock equations for atoms and molecules, Comm.Math.Phys. 203 (1999), 499–530.

    Google Scholar 

  8. Griesemer, M. and Siedentop, H.: A minimax principle for the eigenvalues in spectral gaps, J.London Math.Soc. (2) 60 (1999), 490–500.

    Google Scholar 

  9. Kato, T.: Perturbation Theory for Linear Operators, Springer, New York, 1995.

    Google Scholar 

  10. Mittleman, M. H.: Theory of relativistic effects on atoms: Configuration-space Hamiltonian, Phys.Rev.A 24(3) (1981), 1167–1175.

    Google Scholar 

  11. Thaller, B.: The Dirac Equation, Springer, New York, 1992.

    Google Scholar 

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  1. CPT-CNRS Luminy, Case 907, Marseille Cedex 9, 13288, France

    Walter H. Aschbacher

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  1. Walter H. Aschbacher
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Aschbacher, W.H. Lowering the Hartree–Fock Minimizer by Electron–Positron Pair Correlation. Letters in Mathematical Physics 70, 29–41 (2004). https://doi.org/10.1007/s11005-004-3501-6

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  • DOI: https://doi.org/10.1007/s11005-004-3501-6

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