We introduce Gilmore-Perelomov coherent states for non-unitary representations of non-compact groups, and we discuss the main similarities and differences with respect to ordinary unitary Gilmore-Perelomov coherent states. The example of coherent states for the non-unitary finite dimensional representations of SU(1, 1) is considered and they are used to describe the propagation of light in coupled PT-symmetric optical devices.
CITATION STYLE
Guerrero, J. (2018). Non-Hermitian coherent states for finite-dimensional systems. In Springer Proceedings in Physics (Vol. 205, pp. 191–207). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-76732-1_10
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