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Pseudo-bosons and Riesz Bi-coherent States

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Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

Abstract

After a brief review on D-pseudo-bosons we introduce what we call Riesz bi-coherent states, which are pairs of states sharing with ordinary coherent states most of their features. In particular, they produce a resolution of the identity and they are eigenstates of two different annihilation operators which obey pseudo-bosonic commutation rules.

Mathematics Subject Classification (2010). 46N50, 81R30.

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Correspondence to F. Bagarello .

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Bagarello, F. (2016). Pseudo-bosons and Riesz Bi-coherent States. In: Kielanowski, P., Ali, S., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-31756-4_3

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