On the Contraction of Groups and Their Representations.

@article{Inonu1953OnTC,
  title={On the Contraction of Groups and Their Representations.},
  author={E Inonu and Eugene Paul Wigner},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={1953},
  volume={39 6},
  pages={
          510-24
        }
}
  • E. Inonu, E. Wigner
  • Published 1953
  • Physics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
Classical mechanics is a limiting case of relativistic mechanics. Hence the group of the former, the Galilei group, must be in some sense a limiting case of the relativistic mechanics’ group, the representations of the former must be limiting cases of the latter’s representations. There are other examples for similar relations between groups. Thus, the inhomogeneous Lorentz group must be, in the same sense, a limiting case of the de Sitter groups. The purpose of the present note is to… Expand
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SummaryWhile the transition to a moving coordinate system (x→x+vt, t→t) commutes in classical mechanics with displacements (x→x+a, t→t), the corresponding operations in Schrödinger's nonrelativisticExpand
Group Theoretical Discussion of Relativistic Wave Equations.
  • V. Bargmann, E. Wigner
  • Physics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1948
1 — The wave functions, ψ, describing the possible states of a quantum mechanical system form a linear vector space V which, in general,. is infinite dimensional and on which a positive definiteExpand