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Coherent states have been introduced in a physical context, first as quasi-classical states in quantum mechanics, then as the backbone of quantum optics and they are described in that spirit in the article Coherent states (see also[1]). However, they have generated a huge variety of generalizations, which have led to a tremendous amount of literature in mathematical physics. In this article, we sketch the main directions of research on this line. For further details, we refer to several existing surveys.[2][3][4]
- ^ J-P. Gazeau,Coherent States in Quantum Physics, Wiley-VCH, Berlin, 2009.
- ^ S.T. Ali, J-P. Antoine, J-P. Gazeau, and U.A. Mueller, Coherent states and their generalizations: A mathematical overview, Reviews in Mathematical Physics 7 (1995) 1013-1104.
- ^ S.T. Ali, J-P. Antoine, and J-P. Gazeau, Coherent States, Wavelets and Their Generalizations, Springer-Verlag, New York, Berlin, Heidelberg, 2000.
- ^ S.T. Ali, Coherent States, Encyclopedia of Mathematical Physics, pp. 537-545; Elsevier, Amsterdam, 2006.