Non-self-adjoint hamiltonians defined by Riesz bases
- Autori: Bagarello, F; Inoue, A; Trapani, C
- Anno di pubblicazione: 2014
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Hamiltonian operators; Riesz bases
- OA Link: http://hdl.handle.net/10447/88223
Abstract
We discuss some features of non-self-adjoint Hamiltonians with real discrete simple spectrum under the assumption that the eigenvectors form a Riesz basis of Hilbert space. Among other things, we give conditions under which these Hamiltonians can be factorized in terms of generalized lowering and raising operators.