${\cal {PT}}$ PT symmetric, Hermitian and $\mathcal P$P-self-adjoint operators related to potentials in ${\cal {PT}}$PT quantum mechanics

DOI10.1063/1.3677368zbMath1273.81059arXiv1108.5923OpenAlexW3104255611MaRDI QIDQ2853625

Carsten Trunk, Tomas Ya. Azizov

Publication date: 16 October 2013

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

Full work available at URL: https://arxiv.org/abs/1108.5923

zbMATH Keywords

complex deformed oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (3)

\(\mathcal{RT}\)-symmetric Laplace operators on star graphs: real spectrum and self-adjointness ⋮ \(\mathcal{PT}\)-symmetric couplings of dual pairs ⋮ Operator-based approach to \({\mathcal{P}}{\mathcal{T}}\)-symmetric problems on a wedge-shaped contour

Cites Work

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• J-self-adjoint operators with \mathcal{C} -symmetries: an extension theory approach
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• Space of state vectors in 𝒫𝒯-symmetric quantum mechanics
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• 𝓟𝓣-symmetric quantum mechanics
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Perturbation theory of symmetric Hamiltonians

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