Self-isospectral tri-supersymmetry in \(\mathcal P \mathcal T\)-symmetric quantum systems with pure imaginary periodicity

DOI10.1016/j.aop.2012.03.004zbMath1246.81061arXiv1201.2750OpenAlexW4289253640MaRDI QIDQ436279

Mikhail S. Plyushchay, Francisco Julio Sobreira de Araujo Correa

Publication date: 20 July 2012

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

Full work available at URL: https://arxiv.org/abs/1201.2750

zbMATH Keywords

supersymmetric quantum mechanicsnon-Hermitian Hamiltonian\(\mathcal P \mathcal T\)-symmetryfinite-gap systemnon-linear supersymmetryself-isospectrality

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items

Parametric symmetries in exactly solvable real and PT symmetric complex potentials ⋮ Transparency of the complex PT-symmetric potentials for coherent injection ⋮ Accidental crossings of eigenvalues in the one-dimensional complex PT-symmetric Scarf-II potential ⋮ Generalized Korteweg-de Vries equation induced from position-dependent effective mass quantum models and mass-deformed soliton solution through inverse scattering transform ⋮ Pöschl-Teller Hamiltonian: Gazeau-Klauder type coherent states, related statistics, and geometry ⋮ Perfectly invisible \( \mathcal{P}\mathcal{T} \)-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry ⋮ An \textit{xp} model on \(\text{AdS}_2\) spacetime ⋮ Non-Hermitian oscillator and $\cal {R}$R-deformed Heisenberg algebra ⋮ Reciprocity and unitarity in scattering from a non-Hermitian complex PT-symmetric potential ⋮ Nonlinear Supersymmetry as a Hidden Symmetry

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