Deformed quons and bi-coherent states

Fabio Bagarello, Bagarello

Research output: Contribution to journalArticle

4 Citations (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.
Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalPROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A
Volume473
Publication statusPublished - 2017

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Bosons
Coherent States
operators
Fermions
Quantum theory
bosons
Operator
mutations
Annihilation
Quantum Mechanics
quantum mechanics
eigenvectors
Mutation
fermions

All Science Journal Classification (ASJC) codes

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

Cite this

Deformed quons and bi-coherent states. / Bagarello, Fabio; Bagarello.

In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A, Vol. 473, 2017, p. 1-13.

Research output: Contribution to journalArticle

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