Angular momentum and unitary spinor bases of the lorentz group

1971
11 pages
Published in:
  • Acta Phys.Hung. 30 (1971) 241-251

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Abstract: (Springer)
The matrix of the boost operator has a rather complicated form in angular momentum basis while it reduces to a diagonal formeiαν in the unitary spinor basis. The overlap coefficients between the two bases turn out to be complex Wigner coefficients of the rotation group. With the aid of these coefficients an expression for the boost function is derived in terms of a power series ine−2α.
  • angular momentum
  • spinor
  • group theory: lorentz
  • symmetry: o(3)
  • symmetry: o(2,c)
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