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Title: Non-self-adjoint hamiltonians defined by Riesz bases

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.
Authors:
 [1] ;  [2] ;  [3]
  1. Dipartimento di Energia, Ingegneria dell'Informazione e Modelli Matematici, Facoltà di Ingegneria, Università di Palermo, I-90128 Palermo, Italy and INFN, Università di Torino, Torino (Italy)
  2. Department of Applied Mathematics, Fukuoka University, Fukuoka 814-0180 (Japan)
  3. Dipartimento di Matematica e Informatica, Università di Palermo, I-90123 Palermo (Italy)
Publication Date:
OSTI Identifier:
22251135
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIGENVECTORS; HAMILTONIANS; HILBERT SPACE