Solvability and -symmetry in a double-well model with point interactions

DOI10.1088/0305-4470/38/22/024zbMath1072.81058arXivquant-ph/0503235OpenAlexW2075284887MaRDI QIDQ5462481

Miloslav Znojil, Vít Jakubský

Publication date: 2 August 2005

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/0503235

zbMATH Keywords

symmetry breakinglevel crossingpoint interactionnon-HermiticityPT-symmetric quantum mechanics

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (10)

Coulomb-type interaction under Lorentz symmetry breaking effects ⋮ Localised Nonlinear Modes in the PT-Symmetric Double-Delta Well Gross-Pitaevskii Equation ⋮ On a few new quantization recipes using \(\mathcal{PT}\)-symmetry ⋮ The spectrum of a harmonic oscillator operator perturbed by point interactions ⋮ The large-\(g\) observability of the low-lying energies in the strongly singular potentials \(V(x)=x^2+g^2/x^6\) after their \(\mathcal PT\)-symmetric regularization ⋮ Bound state solutions of the Schrödinger equation for a \(\mathcal{PT}\)-symmetric potential with Dirac delta functions ⋮ Topology-controlled spectra of imaginary cubic oscillators in the large-\(\ell \) approach ⋮ Properties of a pseudo-Hermitian Hamiltonian for harmonic oscillator decorated with Dirac delta interactions ⋮ An explicitly solvable model of the spontaneous PT-symmetry breaking ⋮ Solvable relativistic quantum dots with vibrational spectra

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