Using an operator technique similar to one we have used in a previous paper, we study the generalized coherent states which were introduced by Titulaer and Glauber and discussed recently by Bialynicka-Birula. Using this technique, we provide an alternative derivation of the most general coherent state and then derive a number of interesting properties, some of which do not seem to be in the literature. For example, we show that the generalized coherent states are not minimum-uncertainty packets.
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David Stoler (1971) studied this question.
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