Weak commutation relations of unbounded operators: Nonlinear extensions

Camillo Trapani, Fabio Bagarello, Atsushi Inoue

Risultato della ricerca: Article

6 Citazioni (Scopus)

Abstract

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 this commutator is given in terms of the inner product of the Hilbert space H, where the operators act. We also consider what we call, adopting a physical terminology, a nonlinear extension of the above commutation relations. C
Lingua originaleEnglish
pagine (da-a)-
Numero di pagine13
RivistaJournal of Mathematical Physics
Volume53
Stato di pubblicazionePublished - 2012

Fingerprint

Unbounded Operators
commutation
operators
terminology
Hilbert space
Scalar, inner or dot product
Continue
products
Operator

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cita questo

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

In: Journal of Mathematical Physics, Vol. 53, 2012, pag. -.

Risultato della ricerca: Article

Trapani, C, Bagarello, F & Inoue, A 2012, 'Weak commutation relations of unbounded operators: Nonlinear extensions', Journal of Mathematical Physics, vol. 53, pagg. -.
Trapani C, Bagarello F, Inoue A. Weak commutation relations of unbounded operators: Nonlinear extensions. Journal of Mathematical Physics. 2012;53:-.
Trapani, Camillo ; Bagarello, Fabio ; Inoue, Atsushi. / Weak commutation relations of unbounded operators: Nonlinear extensions. In: Journal of Mathematical Physics. 2012 ; Vol. 53. pagg. -.
@article{10f6efca792f4ca8b09f208a777fd69d,
title = "Weak commutation relations of unbounded operators: Nonlinear extensions",
abstract = "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 this commutator is given in terms of the inner product of the Hilbert space H, where the operators act. We also consider what we call, adopting a physical terminology, a nonlinear extension of the above commutation relations. C",
keywords = "Commutation; Unbounded operators",
author = "Camillo Trapani and Fabio Bagarello and Atsushi Inoue",
year = "2012",
language = "English",
volume = "53",
pages = "--",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",

}

TY - JOUR

T1 - Weak commutation relations of unbounded operators: Nonlinear extensions

AU - Trapani, Camillo

AU - Bagarello, Fabio

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 this commutator is given in terms of the inner product of the Hilbert space H, where the operators act. We also consider what we call, adopting a physical terminology, a nonlinear 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 this commutator is given in terms of the inner product of the Hilbert space H, where the operators act. We also consider what we call, adopting a physical terminology, a nonlinear extension of the above commutation relations. C

KW - Commutation; 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

SP - -

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -

Accesso al documento