English

Instantaneous spreading versus space localization for nonrelativistic quantum systems

Mathematical Physics 2016-07-20 v1 math.MP Quantum Physics

Abstract

A theorem of Hegerfeldt (Instantaneous spreading and Einstein causality in quantum theory, Ann. Phys. Leipzig vol. 7, 716-725 (1998)) establishes, for a class of quantum systems, a dichotomy between those which are permanently localized in a bounded region of space, and those exhibiting instantaneous spreading. We analyse in some detail the physical inconsistencies which follow from both of these options, and formulate which, in our view, are the basic open problems.

Keywords

Cite

@article{arxiv.1607.02961,
  title  = {Instantaneous spreading versus space localization for nonrelativistic quantum systems},
  author = {F. A. B. Coutinho and W. F. Wreszinski},
  journal= {arXiv preprint arXiv:1607.02961},
  year   = {2016}
}

Comments

21 pages

R2 v1 2026-06-22T14:51:05.189Z