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Day July 2, 2012

Classical Trajectories of the Continuum States of the \(\cal{PT}\) symmetric Scarf II potential

Anjana Sinha

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 \(\cal{PT}\) 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.

http://arxiv.org/abs/1206.6987
Quantum Physics (quant-ph); Mathematical Physics (math-ph)