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* According to Gilmore and Perelomov, who showed it independently, the construction of coherent states may be seen as a problem in group theory, and thus coherent states may be associated to groups different from the Heisenberg group, which leads to the canonical coherent states discussed above.
Moreover, these coherent states may be generalized to quantum groups.
These topics, with references to original work, are discussed in detail in Coherent states in mathematical physics.

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