Abstract
This chapter considers square-integrable CS systems related to connected simply connected nilpotent Lie groups. These states are related to the simplest orbits of coadjoint group representations, namely, to orbits which are linear spaces. In this case, as for the Heisenberg-Weyl group G=W N , any coherent state is parametrized by a point of the orbit.
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© 1986 Springer-Verlag Berlin Heidelberg
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Perelomov, A. (1986). Coherent States for Nilpotent Lie Groups. In: Generalized Coherent States and Their Applications. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61629-7_11
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DOI: https://doi.org/10.1007/978-3-642-61629-7_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64891-5
Online ISBN: 978-3-642-61629-7
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