Nonselfadjoint Hamiltonians defined by generalized Riesz bases
Abstract
Bagarello, Inoue, and Trapani [J. Math. Phys. 55, 033501 (2014)] investigated some operators defined by the Riesz bases. These operators connect with quasiHermitian quantum mechanics, and its relatives. In this paper, we introduce a notion of generalized Riesz bases which is a generalization of Riesz bases and investigate some operators defined by the generalized Riesz bases by changing the frameworks of the operators defined in the work of Bagarello, Inoue, and Trapani.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 August 2016
 DOI:
 10.1063/1.4960721
 arXiv:
 arXiv:1604.00161
 Bibcode:
 2016JMP....57h3505I
 Keywords:

 Mathematical Physics
 EPrint:
 doi:10.1063/1.4960721