Non-self-adjoint hamiltonians defined by Riesz bases

Fabio Bagarello, Camillo Trapani, Inoue, Bagarello

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We discuss some features of non-self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that the eigenvectors form a Riesz basis of Hilbertspace. Among other things, we give conditions under which these Hamiltonians canbe factorized in terms of generalized lowering and raising operators.
Original languageEnglish
Number of pages12
JournalJournal of Mathematical Physics
Volume55
Publication statusPublished - 2014

Fingerprint

Riesz Basis
eigenvectors
operators
Thing
Eigenvector
Operator

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Non-self-adjoint hamiltonians defined by Riesz bases. / Bagarello, Fabio; Trapani, Camillo; Inoue; Bagarello.

In: Journal of Mathematical Physics, Vol. 55, 2014.

Research output: Contribution to journalArticle

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