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$kq$-representation for pseudo-bosons, and completeness of bi-coherent states (1701.05180v1)
Published 18 Jan 2017 in math-ph, math.MP, and quant-ph
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.