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FABIO BAGARELLO

kq-Representation for pseudo-bosons, and completeness of bi-coherent states

Abstract

We show how the Zak kq-representation can be adapted to deal with pseudo-bosons, and under which conditions. Then we use this representation to prove completeness of a discrete set of bi-coherent states constructed by means of pseudo-bosonic operators. The case of Riesz bi-coherent states is analyzed in detail.