On the Equivalence of Dressing Transformations
نویسنده
چکیده
A method for constructing dressing transformations for certain field theory models has been developed by Glimm. 1 This method employs a sequence of operators that are not unitary. In Refs. 2 and 3 an alternate construction is developed employing unitary operators. In Ref. 4 results are obtained on the equivalence of different dressing transformations constructed for ¢~+1 by the method of Glimm. In this paper we obtain some results on the equivalence of the representations of the Weyl algebra induced by the transformations of Glimm and by the unitary transformations for a simplified ¢~+1 model-keeping only the most singular terms-in a box.
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تاریخ انتشار 2010