Abstract
In the paper we investigate a system of nonlinearly coupled harmonic oscillators in the quantum as well as classical mechanics frameworks. Combining the Marsden-Weinstein reduction procedure with the quantum reduction procedure we construct coherent states map for this system and find explicit expression for the suitable reproducing measure.
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Odzijewicz, A., Wawreniuk, E. (2018). Coherent State Maps for Kummer Shapes. In: Antoine, JP., Bagarello, F., Gazeau, JP. (eds) Coherent States and Their Applications. Springer Proceedings in Physics, vol 205. Springer, Cham. https://doi.org/10.1007/978-3-319-76732-1_6
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DOI: https://doi.org/10.1007/978-3-319-76732-1_6
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