General aspects of -symmetric and -self-adjoint quantum theory in a Krein space

DOI10.1088/0305-4470/39/45/025zbMath1107.81020arXivhep-th/0605035OpenAlexW3125333757MaRDI QIDQ3419369

Toshiaki Tanaka

Publication date: 6 February 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0605035

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Symmetry breaking in quantum theory (81R40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items (8)

The operational foundations of PT-symmetric and quasi-Hermitian quantum theory ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. I: General formalism and second order ⋮ Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics ⋮ $\mathcal{N}$-FOLD PARASUPERSYMMETRY ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. II: Third order ⋮ \(p\)-adic Schrödinger-type operator with point interactions ⋮ Bounded solutions of the Dirac equation with a PT-symmetric kink-like vector potential in two-dimensional space-time ⋮ ${\cal {PT}}$ PT symmetric, Hermitian and $\mathcal P$P-self-adjoint operators related to potentials in ${\cal {PT}}$PT quantum mechanics

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