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The coulomb potential in higher dimensions

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Differential Equations and Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1285))

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References

  1. Baras, P. and J. A. Goldstein, Remarks on the inverse square potential in quantum mechanics, in Differential Equations (ed. by I. W. Knowles and R. T. Lewis), North-Holland, Amsterdam (1984), 31–35.

    Google Scholar 

  2. Bénilan, Ph. and H. Brezis, The Thomas-Fermi problem, to appear.

    Google Scholar 

  3. Brezis, H., Nonlinear problems related to the Thomas-Fermi equation, in Contemporary Developments in Continuum Mechanics and Partial Differential Equations (ed. by G. M. de la Penha and L. A. Medieros), North-Holland, Amsterdam (1978), 81–89.

    Google Scholar 

  4. Brezis, H., Some variational problems of Thomas-Fermi type, in Variational Inequalities and Complementary Problems: Theory and Applications (ed. by R. W. Cottle, F. Giannessi, and J.-L. Lions), Wiley, New York (1980), 53–73.

    Google Scholar 

  5. Fermi, E., Un metodo statistico per la determinazione di alcune prioretà dell'atome, Rend. Acad. Naz. Lincei 6 (1927), 602–607.

    Google Scholar 

  6. Gallouët, Th. and J.-M. Morel, Resolution of a semilinear equation in L1, Proc. Roy. Soc. Edinburgh 96A (1984), 275–288 and 99A (1985), 399.

    Article  MATH  Google Scholar 

  7. Gallouët, Th. and J.-M. Morel, On some semilinear problems in L1, Boll. Un. Mat. Ital. 4A (1985), 123–131.

    MATH  Google Scholar 

  8. Goldstein, J. A. and G. R. Rieder, Some extensions of Thomas-Fermi theory, in Proceedings of the Conference on Nonlinear Partial Differential Equations (ed. by A. Favini), Springer Lecture Notes in Mathematics, to appear in 1986.

    Google Scholar 

  9. Lieb, E. H., Thomas-Fermi theory and related theories of atoms and molecules, Rev. Mod. Phys. 53 (1981), 603–641.

    Article  MathSciNet  MATH  Google Scholar 

  10. Lieb, E. H. and B. Simon, Thomas-Fermi theory revisited, Phys. Rev. Lett. 33 (1973), 681–683.

    Article  Google Scholar 

  11. Lieb, E. H. and B. Simon, The Thomas-Fermi theory of atoms, molecules and solids, Adv. Math. 23 (1977), 22–116.

    Article  MathSciNet  MATH  Google Scholar 

  12. Rieder, G. R., Mathematical Contributions to Thomas-Fermi Theory, Ph.D. Thesis, Tulane University, New Orleans, 1986.

    MATH  Google Scholar 

  13. Thomas, L. H., The calculation of atomic fields, Proc. Camb. Phil. Soc. 23 (1927), 542–548.

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Quantum Theory Group, Tulane University, 70118, New Orleans, LA, USA

    Jerome A. Goldstein & Gisèle Ruiz Rieder

Authors
  1. Jerome A. Goldstein
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  2. Gisèle Ruiz Rieder
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Ian W. Knowles Yoshimi Saitō

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© 1987 Springer-Verlag

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Goldstein, J.A., Rieder, G.R. (1987). The coulomb potential in higher dimensions. In: Knowles, I.W., Saitō, Y. (eds) Differential Equations and Mathematical Physics. Lecture Notes in Mathematics, vol 1285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080590

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  • DOI: https://doi.org/10.1007/BFb0080590

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18479-9

  • Online ISBN: 978-3-540-47983-3

  • eBook Packages: Springer Book Archive

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