Advertisement

On the Relation Between Momentum and Velocity for Elementary Systems

  • R. F. O’Connell
  • E. P. Wigner
Chapter
Part of the The Scientific Papers book series (WIGNER, volume A / 3)

Abstract

We investigate how the quantum mechanical position operator can be defined for elementary systc,ns so that the connection, postulated by the special theory of relatively, between velocity (the time derivative of the position) and momentum remains valid.

References

  1. [1]
    E.P. Wigner, Ann. of Math. 40 (1939) 149.CrossRefMathSciNetGoogle Scholar
  2. [2]
    V. Bargmann and E.P. Wigner, Proc. Nat. Acad. Sci. 34 (1948) 211.ADSCrossRefzbMATHMathSciNetGoogle Scholar
  3. [3]
    T.D. Newton and E.P. Wigner, Rev. Mod. Phys. 21 (1949) 400. For the most part, we use the notation of this paper. See also M.H.L. Pryce, Proc. Roy. Soc. 195A (1948) 62.Google Scholar
  4. [4]
    S.M.W. Ahmad and E.P. Wigner, Nuovo Cimento 28A (1971) 1.ADSCrossRefMathSciNetGoogle Scholar
  5. [5]
    C.N. Fleming, Phys. Rev. 139 (1975) B963.CrossRefGoogle Scholar
  6. [6]
    G.C. Hegerfeldt, Phys. Rev. D10 (1974) 3320.ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • R. F. O’Connell
  • E. P. Wigner
    • 1
  1. 1.Department of Physics, Joseph Henry LaboratoriesPrinceton UniversityPrincetonUSA

Personalised recommendations