$kq$-representation for pseudo-bosons, and completeness of bi-coherent states
Mathematical Physics
2017-01-19 v1 math.MP
Quantum Physics
Abstract
We show how the Zak -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.
Keywords
Cite
@article{arxiv.1701.05180,
title = {$kq$-representation for pseudo-bosons, and completeness of bi-coherent states},
author = {Fabio Bagarello},
journal= {arXiv preprint arXiv:1701.05180},
year = {2017}
}
Comments
In press in Journal of Mathematical Analysis and Applications