Deformed quons and bi-coherent states

Fabio Bagarello, Bagarello

Risultato della ricerca: Articlepeer review

5 Citazioni (Scopus)

Abstract

We discuss how a q-mutation relation can be deformed replacing a pair of conjugate operators with two other and unrelated operators, as it is done in the construction of pseudo-fermions, pseudo-bosons and truncated pseudo-bosons. This deformation involves interesting mathematical problems and suggests possible applications to pseudo-hermitian quantum mechanics. We construct bi-coherent states associated to D-pseudo-quons, and we show that they share many of their properties with ordinary coherent states. In particular, we find conditions for these states to exist, to be eigenstates of suitable annihilation operators and to give rise to a resolution of the identity. Two examples are discussed in details, one connected to an unbounded similarity map, and the other to a bounded map.
Lingua originaleEnglish
pagine (da-a)1-13
Numero di pagine13
RivistaPROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A
Volume473
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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