Abstract
We look at certain non-standard constructions of coherent states, viz., over matrix domains, on quaternionic Hilbert spaces and C*-Hilbert modules and their possible use in quantization. In particular we look at families of coherent states built over Cuntz algebras and suggest applications to non-commutative spaces. The present considerations might also suggest an extension of Berezin-Toeplitz and coherent state quantization to quaternionic Hilbert spaces and Hilbert modules.
Mathematics Subject Classification (2010). Primary 81R30; Secondary 81S99.
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Ali, S.T. (2013). Some Non-standard Examples of Coherent States and Quantization. In: Kielanowski, P., Ali, S., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0448-6_2
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DOI: https://doi.org/10.1007/978-3-0348-0448-6_2
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