Remarks on pseudo-Hermitian matrices and their exceptional points

DOI10.1007/s10582-005-0125-8zbMath1465.81030OpenAlexW1976674634MaRDI QIDQ5000496

Giuseppe Scolarici, Luigi Solombrino

Publication date: 14 July 2021

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10582-005-0125-8

zbMATH Keywords

quantum mechanicsexceptional pointspseudo-Hermitian Hamiltonians

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Pseudo-Hermitian Hamiltonians, time-reversal invariance and Kramers degeneracy
• Pseudo-Hermitian Hamiltonians, indefinite inner product spaces and their symmetries
• Matrix Analysis
• Exceptional points of non-Hermitian operators
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians
• On the pseudo-Hermitian nondiagonalizable Hamiltonians

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