On domains of {\cal P}{\cal T} symmetric operators related to −y″(x) + (− 1)nx2ny(x)

DOI10.1088/1751-8113/43/17/175303zbMath1188.81057arXiv0911.1284OpenAlexW1586662609MaRDI QIDQ3561000

Carsten Trunk, Tomas Ya. Azizov

Publication date: 17 May 2010

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

Full work available at URL: https://arxiv.org/abs/0911.1284

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (5)

Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Dynamics of finite dimensional non-hermitian systems with indefinite metric ⋮ \(\mathcal{PT}\)-symmetric couplings of dual pairs ⋮ Operator-based approach to \({\mathcal{P}}{\mathcal{T}}\)-symmetric problems on a wedge-shaped contour ⋮ ${\cal {PT}}$ PT symmetric, Hermitian and $\mathcal P$P-self-adjoint operators related to potentials in ${\cal {PT}}$PT quantum mechanics

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