Classical trajectories of the continuum states of the \chem{\cal{PT}} symmetric Scarf II potential

• Published in: Europhysics letters Vol. 98; no. 6; p. 60005
• Main Author: Sinha, Anjana
• Format: Journal Article
• Language: English
• Published: EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.06.2012
• Subjects: 02.20.-a; 03.65.Fd
• ISSN: 0295-5075; 1286-4854
• DOI: 10.1209/0295-5075/98/60005

We apply the factorization technique developed by Kuru et al. (Ann. Phys. (N.Y.), 323 (2008) 413) to obtain the exact analytical classical trajectories and momenta of the continuum states of the non-Hermitian but ${\cal {PT}}$ 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.