### Abstract

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

Pages (from-to) | 175-210 |

Number of pages | 36 |

Journal | Reports on Mathematical Physics |

Volume | 68 |

Publication status | Published - 2011 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

**Pseudo-bosons, so far.** / Bagarello, Fabio.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Pseudo-bosons, so far

AU - Bagarello, Fabio

PY - 2011

Y1 - 2011

N2 - In the past years several extensions of the canonical commutation relations have been proposed by different people in different contexts and some interesting physics and mathematics have been deduced. Here, we review some recent results on the so-called pseudo-bosons. They arise from a special deformation of the canonical commutation relation [a,a †]= ll, which is replaced by [a,b]=ll, with b not necessarily equal to a †. We start discussing some of their mathematical properties and then we discuss several examples.

AB - In the past years several extensions of the canonical commutation relations have been proposed by different people in different contexts and some interesting physics and mathematics have been deduced. Here, we review some recent results on the so-called pseudo-bosons. They arise from a special deformation of the canonical commutation relation [a,a †]= ll, which is replaced by [a,b]=ll, with b not necessarily equal to a †. We start discussing some of their mathematical properties and then we discuss several examples.

UR - http://hdl.handle.net/10447/73907

M3 - Article

VL - 68

SP - 175

EP - 210

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

SN - 0034-4877

ER -