Scattering in PT-symmetric quantum mechanics
量子物理
2015-06-26 v2
摘要
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.
引用
@article{arxiv.quant-ph/0606129,
title = {Scattering in PT-symmetric quantum mechanics},
author = {F. Cannata and J. -P. Dedonder and A. Ventura},
journal= {arXiv preprint arXiv:quant-ph/0606129},
year = {2015}
}
备注
41 pages, to appear in Ann. Phys