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Approximate ground state of the Lipkin model hamiltonian in density-matrix formalism

  • Nuclear Structure and Reactions
  • Published:
Zeitschrift für Physik A Hadrons and Nuclei

Abstract

A method for finding the ground state of a many-body system, which is consistent with the truncation scheme used in the time-dependent density-matrix formalism of Wang and Cassing, is presented and applied to the Lipkin model. It is found that the method gives better ground states than the Hartree-Fock approximation. However, they significantly differ from the exact ground states.

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References

  1. Tohyama, M.: Phys. Rev. C38, 553 (1988)

    Google Scholar 

  2. Gong, M., Tohyama, M.: Z. Phys. A — Atomic Nuclei335, 153 (1990)

    Google Scholar 

  3. Tohyama, M.: Phys. Rev. C36, 187 (1987)

    Google Scholar 

  4. Gong, M., Tohyama, M., Randrup, J.: Z. Phys. A — Atomic Nuclei335, 331 (1990)

    Google Scholar 

  5. Wang, S.J., Cassing, W.: Ann. Phys. (N.Y.)159, 328 (1985)

    Google Scholar 

  6. Prigogine, I.: Non-equilibrium statistical mechanics. New York: Interscience 1962

    Google Scholar 

  7. Tohyama, M., Gong, M.: Z. Phys. A — Atomic Nuclei332, 269 (1989)

    Google Scholar 

  8. Sawicki, J.: Phys. Rev.126, 2231 (1962); Yannouleas, C., Dworzecka, M., Griffin, J.J.: Nucl. Phys. A397, 239 (1983)

    Google Scholar 

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

    Google Scholar 

  10. Cassing, W., Wang, S.J.: Z. Phys. A — Atomic Nuclei328, 423 (1987)

    Google Scholar 

  11. Flocard, H.: Ann. Phys. (N.Y.)191, 382 (1989)

    Google Scholar 

  12. Balian, R., Vénéroni, M.: Ann. Phys. (N.Y.)164, 334 (1985)

    Google Scholar 

  13. Cassing, W., Niita, K., Wang, S.J.: Z. Phys. A — Atomic Nuclei331, 439 (1989)

    Google Scholar 

  14. Gong, M.: Ph. D. thesis at Michigan State University 1990

  15. Carruthers, P., Zachariasen, F.: Rev. Mod. Phys.55, 245 (1983)

    Google Scholar 

  16. Dukelsky, J., Schuck, P.: Nucl. Phys. A512, 466 (1990)

    Google Scholar 

  17. Kummel, H., Luhrmann, K.H., Zabolitzky, J.G.: Phys. Rep.36C, 1 (1978)

    Google Scholar 

Download references

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Authors and Affiliations

  1. School of Medicine, Kyorin University, Shinkawa, Mitaka, 181, Tokyo

    M. Tohyama

  2. Institut des Sciences Nucléaires 53, Avenue des Martyrs, F-38026, Grenoble Cedex, France

    P. Schuck

  3. Center of Theoretical Physics, CCAST (World Lab.), Bei**g

    S. J. Wang

  4. RIKEN, Wako-shi, 351-01, Saitama, Japan

    M. Tohyama

  5. Department of Modern Physics, Lanzhou University, 730001, Lanzhou, China

    S. J. Wang

Authors
  1. M. Tohyama
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  2. P. Schuck
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  3. S. J. Wang
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Tohyama, M., Schuck, P. & Wang, S.J. Approximate ground state of the Lipkin model hamiltonian in density-matrix formalism. Z. Physik A - Hadrons and Nuclei 339, 341–348 (1991). https://doi.org/10.1007/BF01560635

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  • DOI: https://doi.org/10.1007/BF01560635

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