Instantaneous spreading versus space localization for nonrelativistic quantum systems
F.A.B.Coutinho, W. F. Wreszinski
TL;DR
This paper examines the dichotomy in nonrelativistic quantum systems between permanent spatial localization and instantaneous spreading, analyzing the physical inconsistencies and identifying open problems in the field.
Contribution
It provides a detailed analysis of the implications of Hegerfeldt's theorem and discusses the fundamental open problems related to localization and spreading in quantum systems.
Findings
Identifies inconsistencies in localized quantum states
Highlights issues with instantaneous spreading
Outlines open problems in quantum localization
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.