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Non-self-adjoint hamiltonians defined by Riesz bases (1402.6199v1)
Published 25 Feb 2014 in math-ph, math.MP, and quant-ph
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.
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