Non-self-adjoint Hamiltonians defined by generalized Riesz bases

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 Rie...

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Bibliographic Details
Published in:Journal of mathematical physics 2016-08, Vol.57 (8), p.1
Main Authors: Inoue, H., Takakura, M.
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Hamiltonian functions
HAMILTONIANS
HERMITIAN OPERATORS
Mathematics
Operators
Physics
QUANTUM MECHANICS
Quantum physics
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Summary: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4960721