Ordered Expansions in Boson Amplitude Operators

  title={Ordered Expansions in Boson Amplitude Operators},
  author={Kevin Cahill and Roy J. Glauber},
The expansion of operators as ordered power series in the annihilation and creation operators a and a~ is examined. It is found that normally ordered power series exist and converge quite generally, but that for the case of antinormal ordering the required c-number coefficients are infinite for important classes of operators. A parametric ordering convention is introduced according to which normal, symmetric, and antinormal ordering correspond to the values s=+1, 0, —I, respectively, of an… CONTINUE READING
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