Metric operator in pseudo-Hermitian quantum mechanics and the imaginary cubic potential
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Publication:5485513
DOI10.1088/0305-4470/39/32/S18zbMath1117.81061arXivquant-ph/0508195OpenAlexW1993769231MaRDI QIDQ5485513
Publication date: 30 August 2006
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0508195
Related Items (19)
THERMODYNAMICS OF PSEUDO-HERMITIAN SYSTEMS IN EQUILIBRIUM ⋮ Hermitian-non-Hermitian interfaces in quantum theory ⋮ Finding of the metric operator for a quasi-Hermitian model ⋮ \(N\)-site-lattice analogues of \(V(x) = \text ix^3\) ⋮ Pseudo-Hermiticity and electromagnetic wave propagation in dispersive media ⋮ Ad hoc physical Hilbert spaces in quantum mechanics ⋮ Multiply degenerate exceptional points and quantum phase transitions ⋮ THE METRIC OPERATORS FOR PSEUDO-HERMITIAN HAMILTONIAN ⋮ Discrete quantum square well of the first kind ⋮ Solvable model of quantum phase transitions and the symbolic-manipulation-based study of its multiply degenerate exceptional points and of their unfolding ⋮ The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics ⋮ Ring-frustrated non-Hermitian \(XY\) model ⋮ The Coulomb potential and the paradoxes of PT symmetrization ⋮ Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions ⋮ \(\mathcal{CPT}\)-symmetric discrete square well ⋮ Cryptohermitian Hamiltonians on graphs. II: Hermitizations ⋮ Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator ⋮ Smeared quantum lattices exhibiting 𝒫𝒯-symmetry with positive 𝒫 ⋮ Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels
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