J-self-adjoint operators with \mathcal{C} -symmetries: an extension theory approach

DOI10.1088/1751-8113/42/10/105205zbMath1162.47060arXiv0811.0365OpenAlexW3124798010MaRDI QIDQ3615455

Uwe Günther, Sergei Kuzhel, Sergio A. Albeverio

Publication date: 20 March 2009

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

Full work available at URL: https://arxiv.org/abs/0811.0365

zbMATH Keywords

symmetric operatorhidden symmetrypseudo-Hermitian operator\(J\)-selfadjoint operatorKrein resolvent formula\(\mathcal{PT}\) quantum mechanics

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear operators on spaces with an indefinite metric (47B50)

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