par Quesne, Christiane 
Référence Journal of Physics A: Mathematical and Theoretical, 40, 30, page (F745-F751), F07
Publication Publié, 2007-07
Référence Journal of Physics A: Mathematical and Theoretical, 40, 30, page (F745-F751), F07
Publication Publié, 2007-07
Article révisé par les pairs
| Résumé : | The family of metric operators, constructed by Musumbu et al (2007 J. Phys. A: Math. Theor. 40 F75), for a harmonic oscillator Hamiltonian augmented by a non-Hermitian -symmetric part, is re-examined in the light of an su(1,1) approach. An alternative derivation, only relying on properties of su(1,1) generators, is proposed. Being independent of the realization considered for the latter, it opens the way towards the construction of generalized non-Hermitian (not necessarily -symmetric) oscillator Hamiltonians related by similarity to Hermitian ones. Some examples of them are reviewed. © 2007 IOP Publishing Ltd. |
