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arxiv: 1206.6987 · v1 · pith:GY3ATYYFnew · submitted 2012-06-29 · 🪐 quant-ph · math-ph· math.MP

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

classification 🪐 quant-ph math-phmath.MP
keywords classicalcontinuumpotentialscarfstatessymmetrictrajectoriesanalogue
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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.

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