Some remarks on quasi-Hermitian operators
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Publication:5414757
DOI10.1063/1.4853815zbMath1290.81035arXiv1307.5644OpenAlexW1990083368MaRDI QIDQ5414757
Camillo Trapani, Jean-Pierre Antoine
Publication date: 7 May 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.5644
General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Positive linear operators and order-bounded operators (47B65) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
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Cites Work
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- Non-self-adjoint resolutions of the identity and associated operators
- A note on the spectral theorem
- Analytic vectors
- Partial inner product spaces. Theory and applications
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- Semi-classical states for non-self-adjoint Schrödinger operators
- On some classes of unbounded operators
- Quasi-Hermiticity in infinite-dimensional Hilbert spaces
- Quasi-similarity for spectral operators on Banach spaces
- Quasi-similarity of operators
- Hermitian Hamiltonian equivalent to a given non-Hermitian one. Manifestation of spectral singularity
- Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators
- Corrigendum: Partial inner product spaces, metric operators and generalized hermiticity
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- A survey of the theory of spectral operators
- Some non-selfadjoint operators
- J-self-adjoint operators with \mathcal{C} -symmetries: an extension theory approach
- Unbounded $\mathcal {C}$-symmetries and their nonuniqueness
- Nonlinear pseudo-bosons versus hidden Hermiticity: II. The case of unbounded operators
- On the Characterization of Spectral Operators
- Semi-Similarity Invariants for Spectral Operators on Hilbert Space