Classical trajectories of the continuum states of the \chem\calPT symmetric Scarf II potential

2012/06/01 by Anjana Sinha · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Factorization #Gravitational singularity #Hermitian matrix #Inverse #Nonlinear Waves and Solitons #Quantum #Quantum Mechanics and Non-Hermitian Physics #Singularity #Singularity theory #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1209/0295-5075/98/60005

published as Eur. Phys. Lett. vol. 98 (2012) 60005 · 7 pages, 8 figures

openalex publication_date 2012/06/01 · arxiv created 2012/06/29 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We apply the factorization technique developed by Kuru et. al. [Ann. Phys. \bf 323 (2008) 413] to obtain the exact analytical classical trajectories and momenta of the continuum states of the non Hermitian but \calPT symmetric Scarf II potential. In particular, we observe that the strange behaviour of the quantum version at the spectral singularity has an interesting classical analogue.

Citations

• Making sense of non-Hermitian Hamiltonians
• Spectral singularities and Bragg scattering in complex crystals
• Spontaneous breaking of classical PT symmetry

Cited by

• Reciprocity and unitarity in scattering from a non-Hermitian complex PT-symmetric potential