### Abstract

Original language | English |
---|---|

Pages (from-to) | 1-13 |

Number of pages | 13 |

Journal | PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A |

Volume | 473 |

Publication status | Published - 2017 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A*,

*473*, 1-13.

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

Research output: Contribution to journal › Article

*PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A*, vol. 473, pp. 1-13.

}

TY - JOUR

T1 - Deformed quons and bi-coherent states

AU - Bagarello, Fabio

AU - Bagarello, null

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/356835

UR - http://rspa.royalsocietypublishing.org/content/royprsa/473/2200/20170049.full.pdf

M3 - Article

VL - 473

SP - 1

EP - 13

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

SN - 0080-4630

ER -