Abstract
Coherent states are associated to the Jacobi group. The metric obtained from the scalar product of coherent states based on the Siegel–Jacobi ball is a balanced metric. Several geometric properties of the Siegel–Jacobi ball are obtained via the methods of coherent states. We insist on geometric properties of the Siegel–Jacobi ball specific to Berezin quantization.
In memory of Syed Twareque Ali
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Berceanu, S. (2019). Coherent States Associated to the Jacobi Group and Berezin Quantization of the Siegel–Jacobi Ball. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVI. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01156-7_4
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DOI: https://doi.org/10.1007/978-3-030-01156-7_4
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-01155-0
Online ISBN: 978-3-030-01156-7
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