Lattice transformations and charge quantization

  • Mayer Humi
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 14)


Electric Charge Dilatation Operator Translation Operator Weyl Algebra Complex Dilatation 
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Notes and references

  1. 1.
    E. C. Zeeman-J. Math. Phys. 5, p. 490 (1964).Google Scholar
  2. 2.
    J. Fulton, R. Rohrlich and L. Witten-Rev. Mod. Phys. 34, p. 442 (1962).Google Scholar
  3. 3.
    P. Cartier-Symposia in Pure Math. Vol. 9, p. 361 (American Math. Soc.).Google Scholar
  4. 4.
    J. Zak-Phys. Rev. 168, p. 686 (1968).Google Scholar
  5. 5.
    In other words this means that we can find a different Lie group which has the same Lie algebra.Google Scholar
  6. 6.
    A. O. Barut-in Lec. in Theo. Phys. 7A,p. 121 (1964) ed. W. E. Britten & A. 0. Barut.Google Scholar
  7. 6a.
    — J. Math. Phys. 5,p. 1652 (1964).Google Scholar
  8. 7.
    V. Bargmann-Ann. of Math. 59, p. 1 (1954).Google Scholar
  9. 8.
    Here we emphasize that the restriction αβ=2πn still allows a continuum of α,β solutions for every n. To overcome this we assume that for each n only one pair of (α,β) is chosen.Google Scholar
  10. 9.
    We remark also that our operators are nonunitary. Similar difficulties were encountred in other theories of the electric charge (R. J. Adler-J. Math. Phys. 11, p. 1185).Google Scholar
  11. 10.a
    L. O'Raifeartaigh-Phys. Rev. 139, p. 1052 (1965)Google Scholar
  12. 10.b
    S. Coleman-Phys. Rev. 138, p. 1262 (1965).Google Scholar

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • Mayer Humi
    • 1
  1. 1.Department of MathematicsThe University of TorontoToronto

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