Abstract
This chapter gives an exact mathematical formulation and proof that in representations of a compact Lie group G specified by large quantum numbers the generators of the corresponding Lie algebra ā can be replaced by c-numbers [194]. This is an extension of the fact that if the angular momentum is large (jāā), the angular momentum operators Jx, Jy, Jz can be replaced by the following c-numbers;
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Ā© 1986 Springer-Verlag Berlin Heidelberg
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Perelomov, A. (1986). Coherent States and the Quasiclassical Limit. 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_22
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DOI: https://doi.org/10.1007/978-3-642-61629-7_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64891-5
Online ISBN: 978-3-642-61629-7
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