arXiv Analytics

Sign in

arXiv:1701.05180 [math-ph]AbstractReferencesReviewsResources

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

Fabio Bagarello

Published 2017-01-18Version 1

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.

Comments: In press in Journal of Mathematical Analysis and Applications
Categories: math-ph, math.MP, quant-ph
Related articles: Most relevant | Search more
arXiv:1610.09317 [math-ph] (Published 2016-10-28)
Pseudo-bosons and Riesz bi-coherent states
arXiv:1007.4349 [math-ph] (Published 2010-07-25)
Examples of Pseudo-bosons in quantum mechanics
arXiv:1603.02792 [math-ph] (Published 2016-03-09)
Appearances of pseudo-bosons from Black-Scholes equation