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The Generator Coordinate Method Illustrated on the Hydrogen Molecule

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Quantum Science

Abstract

The problem of correlation, as pointed out by P.O. Löwdin, /1/ is a central one in many body physics. It is realized that correlations in the particle motion are to be included in the mathematical description of many body systems in order to reach an agreement with experimental data. However, this is a nearly impossible task except for a few simple systems or for some simple kinds of correlation.

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Reference

  1. P.O. Löwdin, Advan. Chem. Phys. 14, 283 (1969)

    Google Scholar 

  2. P.O. Löwdin, Phys. Rev. 97, 1474 (1955).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. P.O. Löwdin, Phys. Rev. 57, 1490 (1955).

    Article  Google Scholar 

  4. P.O. Löwdin, Phys. Rev. 7, 1509 (1955).

    Article  Google Scholar 

  5. R. E. Peierls and J. Yoccoz, Proc. Phys. Soc. (London) A70, 381 (1957).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. J.J. Griffin and J.A. Wheeler, Phys. Rev. 108, 311 (1957).

    Article  ADS  MATH  Google Scholar 

  7. P.O. Löwdin, Symposium on Molecular Physics, Tokyo, Morusen Co., p. 13 (1953).

    Google Scholar 

  8. J.C. Slater, Quantum Theory of Molecules and Solids, Vol. 1, New York, McGraw-Hill Book Co. (1963).

    Google Scholar 

  9. S. Weinbaum, J. Chem. Phys. 1, 593 (1933).

    Article  ADS  Google Scholar 

  10. D.L. Hill and J.A. Wheeler, Phys. Rev. 89, 1102 (1953).

    Article  ADS  MATH  Google Scholar 

  11. D. Brink, Proc. of Int. School of Physics, “Enrico Fermi,” Course 36, Acc. Press, Inc., London (1966).

    Google Scholar 

  12. B. Jancovici and D.H. Schiff, Nuclear Phys. 58, 678 (1964).

    Article  ADS  Google Scholar 

  13. M.V. Mihailovic and M. Rosina (editors) “Generator Coordinate Method for nuclear bound states and reactions” Fizika 5 supplement (1973).

    Google Scholar 

  14. B. Laskowski and E. Brandas, Preliminary Research Report 407, Quantum Theory Project, Williamson Hall, University of Florida, Gainesville, Florida 32611.

    Google Scholar 

  15. P.O. Löwdin, Rev. Mod. Phys. 35, 496 (1963).

    Article  Google Scholar 

  16. R.K. Nesbet, Rev. Mod Phys. 35, 498 (1963).

    Article  Google Scholar 

  17. M. Ostlund and M. Karplus, Chem. Phys. Letters 11, 450 (1971).

    Article  ADS  Google Scholar 

  18. M. Ratner, Int. J. Quantum Chem. 6, 1165 (1972).

    Google Scholar 

  19. J. Linderberg, P. J¢rgensen, J. Oddershede and M. Ratner, J. Chem. Phys. 56, 6213 (1972).

    Article  ADS  Google Scholar 

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© 1976 Springer Science+Business Media New York

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Laskowski, B. (1976). The Generator Coordinate Method Illustrated on the Hydrogen Molecule. In: Calais, JL., Goscinski, O., Linderberg, J., Öhrn, Y. (eds) Quantum Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1659-7_34

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  • DOI: https://doi.org/10.1007/978-1-4757-1659-7_34

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1661-0

  • Online ISBN: 978-1-4757-1659-7

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