Weak commutation relations of unbounded operators:Nonlinear extensions

Fabio Bagarello, Camillo Trapani, 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 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
Lingua originaleEnglish
Numero di pagine13
RivistaJournal of Mathematical Physics
Volume53
Stato di pubblicazionePublished - 2012

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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. / Bagarello, Fabio; Trapani, Camillo; Inoue, Atsushi.

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

Risultato della ricerca: Article

Bagarello, F, Trapani, C & Inoue, A 2012, 'Weak commutation relations of unbounded operators:Nonlinear extensions', Journal of Mathematical Physics, vol. 53.
Bagarello F, Trapani C, Inoue A. Weak commutation relations of unbounded operators:Nonlinear extensions. Journal of Mathematical Physics. 2012;53.
Bagarello, Fabio ; Trapani, Camillo ; Inoue, Atsushi. / Weak commutation relations of unbounded operators:Nonlinear extensions. In: Journal of Mathematical Physics. 2012 ; Vol. 53.
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