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arXiv · 1604.00161

Non-self-adjoint hamiltonians defined by generalized Riesz bases

Hiroshi Inoue·Mayumi Takakura
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Abstract

In \cite{b-i-t}, F. Bagarello, A. Inoue and C. Trapani investigated some operators defined by Riesz bases. These operators connect with ${\it quasi}$-${\it hermitian \; quantum \; mechanics}$, and its relatives. In this paper, we change the frameworks of these operators, and then almost results obtained in \cite{b-i-t} become trivial. Furthermore, we introduce a notion of generalized Riesz bases which is a generalization of Riesz bases and investigate some operators defined by generalized Riesz bases.

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Hiroshi Inoue, Mayumi Takakura. 2016-04-01. Non-self-adjoint hamiltonians defined by generalized Riesz bases. https://doi.org/10.1063/1.4960721

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