Non-self-adjoint hamiltonians defined by Riesz bases
arXiv:1402.6199 · doi:10.1063/1.4866779
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.
in press in Journal of Mathematical Physics
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