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- W4298266174 abstract "The spectral analysis of a non-Hermitian unbounded operator appearing in quantum physics is our main concern. The properties of such an operator are essentially different from those of Hermitian Hamiltonians, namely due to spectral instabilities. We demonstrate that the considered operator and its adjoint can be diagonalized when expressed in terms of certain conveniently constructed operators. We show that their eigenfunctions constitute complete systems, but do not form Riesz bases. Attempts to overcome this difficulty in the quantum mechanical set up are pointed out." @default.
- W4298266174 created "2022-10-01" @default.
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- W4298266174 date "2017-05-31" @default.
- W4298266174 modified "2023-09-27" @default.
- W4298266174 title "Non-Hermitian quantum mechanics of bosonic operators" @default.
- W4298266174 doi "https://doi.org/10.48550/arxiv.1705.11153" @default.
- W4298266174 hasPublicationYear "2017" @default.
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