kq-representation for pseudo-bosons, and completeness of bi-coherent\n states

2017/01/18 by Fabio Bagarello, Bagarello, Fabio
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Blind Source Separation Techniques #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #Sparse and Compressive Sensing Techniques

paper · pdf · doi:10.48550/arxiv.1701.05180

openalex publication_date 2017/01/18 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

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

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