\mathcal {P}\mathcal {T} symmetry as a generalization of Hermiticity

DOI10.1088/1751-8113/43/29/295301zbMath1193.81029arXiv1002.2676OpenAlexW1993658168MaRDI QIDQ3579978

Song-Zhi Chia, Jie-Hong Zhang, Qing-hai Wang

Publication date: 11 August 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2676

zbMATH Keywords

ranklinear dependencevector spacesrigged Hilbert spaces(Generalized) eigenfunction expansionsHilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)other types of matrices (Hermitianskew-Hermitian)

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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