Lowering and raising operators of IU(n) and IO(n) and their normalization constants

Mathematics – Mathematical Physics

Scientific paper

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General Properties, Structure, And Representation Of Lie Groups

Scientific paper

Lowering and raising operators for the vector space U(n) supuline IU(n)
and O(n) supuline IO(n) have been obtained, and their normalization
constants evaluated. For U(n) supuline IU(n), we obtain two forms, one
according to Nagel and Moshinsky, and the other according to Bincer. For
O(n) supuline IO(n),we obtain the shift operators according to Bincer.

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