Group theory algebras and bosonization

  • Andrés J. Kálnay
  • Ricardo A. Tello-Llanos
Canonical Transformations and Quantum Mechanics
Part of the Lecture Notes in Physics book series (LNP, volume 201)


Taking into account the well known relevance of group theory to physics and the relation between groups and algebras we discuss the application of the method of bosonization to a wide class of algebras as well as some physical implications. Seemingly different physical and mathematical structures are unified within the bosonization scheme.


Natural Family Physical Implication Abstract Algebra Grassmann Algebra Poincar6 Group 
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  1. 1.
    S. Okubo, Phys. Rev. C 10, 2048 (1974).Google Scholar
  2. 2.
    C. E. Baird and L. C. Biedenharn, J. Math. Phys. 4, 1449 (1963).Google Scholar
  3. 3.
    V. Bargmann and M. Moshinsky, Nucl. Phys. 18, 697 (1960).Google Scholar
  4. 4.
    H. D. Doebner and O. Melsheimer, J. Math. Phys. 9, 1638 (1968).Google Scholar
  5. 5.
    M. Hage Hassan, J. Phys. A 12, 1633 (1979).Google Scholar
  6. 6.
    Abdus Salam and J. Strathdee, Phys. Rev. 148, 1352 (1966).Google Scholar
  7. 7.
    C, A. González-Bernardo, A. J. Kglnay and R. A. Tello-Llanos, Bose Realizations of Finite Associative Algebras and Physical Applications (to be published).Google Scholar
  8. 8.
    C. A. González-Bernardo, A. J. Kâlnay and R. A. Tello-Llanos, Lett. N. Cimento 33, 74 (1982).Google Scholar
  9. 9.
    A. J. Kâlnay, Prog. Theor. Phys. 54, 1848 (1975).Google Scholar
  10. 10.
    P. Jordan, Zeitschrift fuer Physik, 94, 531 (1935).Google Scholar
  11. 11.
    K. Kademova, Int. J. Theor. Phys. 3, 109 (1970).Google Scholar
  12. 12.
    J. Schwinger, On Angular Momentum, p. 229 in: L. C. Biedenharn and H. van Dam, Quantum Theory of Angular Momentum, Academic Press, (N. York, 1965).Google Scholar
  13. 13.
    O. W. Greenberg and A. M. L. Messiah, Phys. Rev. 138, B 1155 (1965).Google Scholar
  14. 14.
    C. A. Gonzâlez-Bernardo, A. J. Kglnay and R. A. Tello-Llanos (work in progress).Google Scholar
  15. 15.
    Y. Nambu, Phys. Rev. D 7, 2405 (1973).Google Scholar
  16. 16.
    A. J. Kglnay and R. Tascón, Int. J. Theor. Phys. 16, 635 (1977).Google Scholar
  17. 17.
    A. J. Kâlnay, Rep. Math. Phys. 9, 9 (1976).Google Scholar
  18. 18.
    A. J. Kglnay and R. A. Tello-Llanos (work in progress).Google Scholar
  19. 19.
    C. A. Gonzâlez-Bernardo and A. J. Kâlnay, Search of Elementary Quantum Statistics, Int. J. Theor. Phys. (in press).Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Andrés J. Kálnay
    • 1
  • Ricardo A. Tello-Llanos
    • 1
  1. 1.Centro de Física, IVIC, Apdo. 1827CaracasVenezuela

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