# Non-self-adjoint Hamiltonians defined by generalized Riesz bases

@article{Inoue2016NonselfadjointHD, title={Non-self-adjoint Hamiltonians defined by generalized Riesz bases}, author={Hiroshi Inoue and Mayumi Takakura}, journal={Journal of Mathematical Physics}, year={2016}, volume={57}, pages={083505} }

Bagarello, Inoue, and Trapani [J. Math. Phys. 55, 033501 (2014)] investigated some operators defined by the Riesz bases. These operators connect with quasi-Hermitian 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.

## 14 Citations

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