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Symmetries and statistical behavior in fermion systems

  • J. B. French
  • J. P. Draayer
Group Theory in Nuclear Physics
Part of the Lecture Notes in Physics book series (LNP, volume 94)

Abstract

Our subject has been spectral distribution and group symmetries though we have been able to refer to only a few papers in each domain. We have stressed that group theory constructions enter in a particularly elegant way when many-body problems are treated via spectral distributions; and by the same token, many-body results shed some new light on problems in group theory.

Keywords

Particle Number Density Operator Particle Space Integrity Basis Eigenvalue Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1).
    A. Pandey, Ann. Phys. (N.Y.), in press.Google Scholar
  2. 2).
    V. Potbbare and S. P. Pandya, Nucl. Phys. A256 (1976) 253.Google Scholar
  3. 3).
    K. K. Mon and J. B. French, Ann. Phys. (N.Y.) 95 (1975) 90.Google Scholar
  4. 4).
    H. A. Bethe, Phys. Rev. 50 (1936) 332; J. G. Cleary and B. G. Wybourne, J. Math. Phys. 12 (1971) 45; T. R. Halemane, unpublished.Google Scholar
  5. 5).
    M. Nomura, Progr. Theoret. Phys. 48 (1972) 442.Google Scholar
  6. 6).
    J. B. French, in Isospin in Nuclear Physics, D. H. Wilkinson editor, (North-Holland, Amsterdam, 1969).Google Scholar
  7. 7).
    C. Quesne, J. Math. Phys. 16 (1975) 2427.Google Scholar
  8. 8).
    J. P. Elliott, Proc. Roy. Soc. A245 (1958) 128, 562; V. Bargmann and M. Moshinsky, Nucl. Phys. 18 (1960) 697, 23 (1961) 177; G. Racah, in Group Theoretical Concepts and Methods in Elementary Particle Physics, F. Gürsey editor (Gordon and Breach, New York, 1964).Google Scholar
  9. 9).
    B. R. Judd, W. Miller, Jr., J. Patera and P. Winternitz, J. Math. Phys. 15, (1974) 1787.Google Scholar
  10. 10).
    R. U. Haq and J. C. Parikh, Nucl. Phys. A220 (1974) 349; C. Quesne, J. Math. Phys. 17 (1976) 1452.Google Scholar
  11. 11).
    W. Miller, Jr., as quoted in Ref. 11.Google Scholar
  12. 12).
    R. Gaskell, A. Peccia and R. T. Sharp, J. Math. Phys. 19 (1978) 727.Google Scholar
  13. 13).
    J. P. Draayer, J. B. French and S. S. M. Wong, Ann. Phys. (N.Y.) 106 (1977) 472, 503.Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • J. B. French
    • 1
  • J. P. Draayer
    • 2
  1. 1.Department of Physics and AstronomyUniversity of RochesterRochester
  2. 2.Department of Physics and AstronomyLouisiana State UniversityBaton Rouge

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