English

Quantum backflow in the presence of a purely transmitting defect

Quantum Physics 2020-10-07 v2 Mathematical Physics math.MP

Abstract

We analyse the quantum backflow effect and extend it, as a limiting constraint to its spatial extent, for scattering situations in the presence of a purely transmitting discontinuous jump-defect. Analytical and numerical comparisons are made with a different situation in which a defect is represented by a δ\delta function potential. Furthermore, we make the analysis compatible with conservation laws.

Keywords

Cite

@article{arxiv.2007.07393,
  title  = {Quantum backflow in the presence of a purely transmitting defect},
  author = {Alexandre Hefren de Vasconcelos},
  journal= {arXiv preprint arXiv:2007.07393},
  year   = {2020}
}

Comments

36 pages, 13 figures; minor changes, references added