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

Fabio Bagarello, Bagarello

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)631-646
Number of pages16
JournalJournal of Mathematical Analysis and Applications
Volume450
Publication statusPublished - 2017

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Bosons
Coherent States
Completeness
Operator

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

kq-Representation for pseudo-bosons, and completeness of bi-coherent states. / Bagarello, Fabio; Bagarello.

In: Journal of Mathematical Analysis and Applications, Vol. 450, 2017, p. 631-646.

Research output: Contribution to journalArticle

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