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Kinetic Energy Density of the Two-Electron Hookean Atom in Terms of the Ground-State Electron Density

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Abstract

An explicit expression is derived for the kinetic energy density, including the correlation contribution, in terms of the ground-state electron density for the two-electron Hookean atom. This model atom has the merit that while the electrons are tied to an origin by springs, the Coulomb interaction energy between the two electrons is fully incorporated.

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References

  1. A. Holas and N.H. March, Phys. Rev. A 51 (1995) 2040.

    Article  PubMed  Google Scholar 

  2. R.G. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules (Oxford University Press, Oxford, 1989).

    Google Scholar 

  3. R.M. Dreizler and E.K.U. Gross, Density Functional Theory (Springer, Berlin, 1990).

    Google Scholar 

  4. N.H. March, Electron Density Theory (Academic Press, London, 1992).

    Google Scholar 

  5. N.R. Kestner and O. Sinano\(\bar g\)lu, Phys. Rev. 128 (1962) 2687.

    Article  Google Scholar 

  6. S. Kais, D.R. Herschbach and R.D. Levine, J. Chem. Phys. 91 (1989) 7791.

    Article  Google Scholar 

  7. M. Taut, Phys. Rev. A 48 (1993) 3561.

    Article  PubMed  Google Scholar 

  8. Z. Qian and V. Sahni, Phys. Rev. A 57 (1998) 2527.

    Article  Google Scholar 

  9. N.H. March, T. Gál and á. Nagy, Chem. Phys. Lett. 292 (1998) 384.

    Article  Google Scholar 

  10. M. Abramowitz and I.A. Stegun (eds.), Handbook of Mathematical Functions (Dover, New York, 1972).

    Google Scholar 

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Authors and Affiliations

  1. The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, I-34014, Trieste, Italy

    N.H. March & A. Holas

  2. Department of Physics (RUCA), University of Antwerp, B-2020, Antwerp, Belgium

    N.H. March

  3. University of Oxford, Oxford, England

    N.H. March

Authors
  1. N.H. March
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  2. A. Holas
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Correspondence to A. Holas.

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March, N., Holas, A. Kinetic Energy Density of the Two-Electron Hookean Atom in Terms of the Ground-State Electron Density. Journal of Mathematical Chemistry 33, 163–170 (2003). https://doi.org/10.1023/A:1023256000287

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  • DOI: https://doi.org/10.1023/A:1023256000287

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