### Abstract

Lingua originale | English |
---|---|

Numero di pagine | 13 |

Rivista | Journal of Mathematical Physics |

Volume | 53 |

Stato di pubblicazione | Published - 2012 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cita questo

**Weak commutation relations of unbounded operators:Nonlinear extensions.** / Bagarello, Fabio; Trapani, Camillo; Inoue, Atsushi.

Risultato della ricerca: Article

*Journal of Mathematical Physics*, vol. 53.

}

TY - JOUR

T1 - Weak commutation relations of unbounded operators:Nonlinear extensions

AU - Bagarello, Fabio

AU - Trapani, Camillo

AU - Inoue, Atsushi

PY - 2012

Y1 - 2012

N2 - We continue our analysis of the consequences of the commutation relation [S, T ]= 1, where S and T are two closable unbounded operators. The weak sense of thiscommutator is given in terms of the inner product of the Hilbert space H, wherethe operators act. We also consider what we call, adopting a physical terminology, anonlinear extension of the above commutation relations. C

AB - We continue our analysis of the consequences of the commutation relation [S, T ]= 1, where S and T are two closable unbounded operators. The weak sense of thiscommutator is given in terms of the inner product of the Hilbert space H, wherethe operators act. We also consider what we call, adopting a physical terminology, anonlinear extension of the above commutation relations. C

KW - Commutation

KW - Unbounded operators

UR - http://hdl.handle.net/10447/68045

UR - http://scitation.aip.org/content/aip/journal/jmp/53/12/10.1063/1.4764863

M3 - Article

VL - 53

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -