Skip to main content
Passa alla visualizzazione normale.


Pari opportunità

CAMILLO TRAPANI

Weak commutation relations of unbounded operators and applications

  • Authors: Bagarello, F; Inoue, A; Trapani, C
  • Publication year: 2011
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Commutation relations; unbounded operators
  • OA Link: http://hdl.handle.net/10447/60630

Abstract

Four possible definitions of the commutation relation [S, T] = 11 of two closable unbounded operators S, T are compared. The weak sense of this commutator is given in terms of the inner product of the Hilbert space H where the operators act. Some consequences on the existence of eigenvectors of two numberlike operators are derived and the partial O*-algebra generated by S, T is studied. Some applications are also considered.