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Truncation scheme of time-dependent density-matrix approach

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Abstract

A truncation scheme of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for reduced density matrices, where a three-body density matrix is approximated by the antisymmetrized products of two-body density matrices, is proposed. This truncation scheme is tested for three model Hamiltonians. It is shown that the obtained results are in good agreement with the exact solutions.

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References

  1. S.J. Wang, W. Cassing, Ann. Phys. 159, 328 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  2. M. Gong, M. Tohyama, Z. Phys. A 335, 153 (1990).

    ADS  Google Scholar 

  3. S. Takahara, M. Tohyama, P. Schuck, Phys. Rev. C 70, 057307 (2004).

    Article  ADS  Google Scholar 

  4. M. Tohyama, Phys. Rev. C 75, 044310 (2007).

    Article  ADS  Google Scholar 

  5. F.V. De Blasio, W. Cassing, M. Tohyama, P.F. Bortignon, R.A. Broglia, Phys. Rev. Lett. 68, 1663 (1992).

    Article  ADS  Google Scholar 

  6. A. Pfitzner, W. Cassing, A. Peter, Nucl. Phys. A 577, 753 (1994).

    Article  ADS  Google Scholar 

  7. M. Assié, D. Lacroix, Phys. Rev. Lett. 102, 202501 (2009).

    Article  ADS  Google Scholar 

  8. M. Tohyama, J. Phys. Soc. Jpn. 81, 054707 (2012).

    Article  ADS  Google Scholar 

  9. K.-J. Schmitt, P.-G. Reinhard, C. Toepffer, Z. Phys. A 336, 123 (1990).

    ADS  Google Scholar 

  10. T. Gherega, R. Krieg, P.-G. Reinhard, C. Toepffer, Nucl. Phys. A 560, 166 (1993).

    Article  ADS  Google Scholar 

  11. M. Tohyama, P. Schuck, Eur. Phys. J. A 45, 257 (2010).

    Article  ADS  Google Scholar 

  12. M. Jemai, P. Schuck, At. Nucl. 74, 1139 (2011).

    Article  Google Scholar 

  13. M. Tohyama, P. Schuck, S.J. Wang, Z. Phys. A 339, 341 (1991).

    Article  ADS  Google Scholar 

  14. S.J. Wang, Z. Wei, W. Cassing, Nucl. Phys. A 573, 245 (1994).

    Article  Google Scholar 

  15. M. Tohyama, Phys. Rev. A 71, 043613 (2005).

    Article  ADS  Google Scholar 

  16. M. Gell-Mann, F. Low, Phys. Rev. 84, 350 (1951).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. H.J. Lipkin, N. Meshkov, A.J. Glick, Nucl. Phys. 62, 188 (1965).

    Article  MathSciNet  Google Scholar 

  18. V.D. Barger, M.G. Olsson, Classical electricity and magnetism (Allyn and Bacon, Boston, 1987).

  19. M. Jemai, P. Schuck, J. Dekelsky, R. Bennaceur, Phys. Rev. B 71, 085115 (2005).

    Article  ADS  Google Scholar 

  20. M. Tohyama, J. Phys. Soc. Jpn. 82, 124004 (2013).

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Kyorin University School of Medicine, 181-8611, Mitaka, Tokyo, Japan

    Mitsuru Tohyama

  2. Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406, Orsay Cedex, France

    Peter Schuck

  3. Laboratoire de Physique et de Modélisation des Milieux Condensés et Université Joseph Fourier, 25 Av. des Martyrs, F-38042, Grenoble Cedex 9, France

    Peter Schuck

Authors
  1. Mitsuru Tohyama
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  2. Peter Schuck
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Correspondence to Mitsuru Tohyama.

Additional information

Communicated by H. Wittig

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Tohyama, M., Schuck, P. Truncation scheme of time-dependent density-matrix approach. Eur. Phys. J. A 50, 77 (2014). https://doi.org/10.1140/epja/i2014-14077-x

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  • DOI: https://doi.org/10.1140/epja/i2014-14077-x

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