A general formalism is worked out for the description of one-dimensional scattering in non-her¨mitian quantum mechanics and constraints on transmission and reflection coefficients ore derived in the cases of P, T or PT invariance of the Hamiltonian. Applications to some solvable PT-symmetric potentials ore 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.
Scattering in PT-Symmetric Quantum Mechanics
Ventura, A.;
2007-02-01
Abstract
A general formalism is worked out for the description of one-dimensional scattering in non-her¨mitian quantum mechanics and constraints on transmission and reflection coefficients ore derived in the cases of P, T or PT invariance of the Hamiltonian. Applications to some solvable PT-symmetric potentials ore 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.File in questo prodotto:
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