Scattering in PT-symmetric quantum mechanics

Details Scattering in PT-symmetric quantum mechanics Scattering in PT-symmetric quantum mechanics

2006-06-15

arxiv.org/abs/quant-ph/0606129v2

Ann. Phys. 322 (2007) 397

Physics

Quantum Physics

41 pages, to appear in Ann. Phys

Scientific paper

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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