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• W2048944186 abstract "The connection is investigated between quantization by means of coherent states and geometric quantization, when the base manifold is a coadjoint orbit, and hence a homogeneous space, of the (1+1)‐dimensional Poincaré group. Coherent states of the Poincaré group stem from a representation that is square‐integrable modulo closed subgroup, and so they depend on a measurable section on the given homogeneous space. For each section that leads to a tight frame, a geometric prequantization is constructed, i.e., a Hermitian line bundle with metric connection. Conditions are given under which the two forms associated to the connection and to the coadjoint orbit structure of the base manifold coincide." @default.
• W2048944186 created "2016-06-24" @default.
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• W2048944186 date "1994-09-01" @default.
• W2048944186 modified "2023-10-18" @default.
• W2048944186 title "Quantization of a classical system on a coadjoint orbit of the Poincaré group in 1+1 dimensions" @default.
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• W2048944186 doi "https://doi.org/10.1063/1.530860" @default.
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