Scattering in \(\mathcal{PT}\)-symmetric quantum mechanics
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Publication:863948
DOI10.1016/j.aop.2006.05.011zbMath1106.81069arXivquant-ph/0606129OpenAlexW4299620968MaRDI QIDQ863948
Jean-Pierre Dedonder, Alberto Ventura, Francesco Cannata
Publication date: 12 February 2007
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0606129
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
Related Items (14)
Coalescence of resonances in dissipationless resonant tunneling structures and \(\mathcal{PT}\)-symmetry breaking ⋮ The resistive state in a superconducting wire: Bifurcation from the normal state ⋮ Transparency of the complex PT-symmetric potentials for coherent injection ⋮ Nonlocal discrete continuity and invariant currents in locally symmetric effective Schrödinger arrays ⋮ Scattering theory for 0-perturbed \(\mathcal{PT}\)-symmetric operators ⋮ Exactly solvable complex PT symmetry potential A[sech(λx) + i tanh(λx)] ⋮ On the normalization constant of \(PT\)-symmetric and real Rosen-Morse I potentials ⋮ Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field ⋮ Overcritical \(\mathcal PT\)-symmetric square well potential in the Dirac equation ⋮ Scattering from a \(PT\) symmetric standing wave ⋮ Reciprocity and unitarity in scattering from a non-Hermitian complex PT-symmetric potential ⋮ Relativistic confinement of neutral fermions with partially exactly solvable and exactly solvable PT-symmetric potentials in the presence of position-dependent mass ⋮ The finite ${\mathcal{PT}}$ -symmetric square well potential ⋮ Lax-Phillips scattering theory for PT-symmetric ρ-perturbed operators
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