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Scattering in PT-symmetric quantum mechanics

F. Cannata·J. -P. Dedonder·A. Ventura
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Abstract

A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients are derived in the cases of P, T, or PT invariance of the Hamiltonian. Applications to some solvable PT-symmetric potentials are shown in detail. Our main original results concern the association of reflectionless potentials with asymptotic exact PT symmetry and the peculiarities of separable kernels of non-local potentials in connection with hermiticity, T invariance and PT invariance.

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F. Cannata, J. -P. Dedonder, A. Ventura. 2006-06-15. Scattering in PT-symmetric quantum mechanics. https://doi.org/10.1016/j.aop.2006.05.011

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