Discrete {\cal PT} -symmetric models of scattering

DOI10.1088/1751-8113/41/29/292002zbMath1149.81366arXiv0806.2019OpenAlexW2263122108MaRDI QIDQ3516336

Miloslav Znojil

Publication date: 1 August 2008

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

Full work available at URL: https://arxiv.org/abs/0806.2019

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (9)

Hermitian-non-Hermitian interfaces in quantum theory ⋮ On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation ⋮ Discrete quantum square well of the first kind ⋮ Quantum mechanics using two auxiliary inner products ⋮ Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian ⋮ Multi-instantons and exact results. III: Unification of even and odd anharmonic oscillators ⋮ Scattering from a \(PT\) symmetric standing wave ⋮ 𝒫𝒯-symmetric quantum field theory on the noncommutative spacetime ⋮ Lax-Phillips scattering theory for PT-symmetric ρ-perturbed operators

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