Classical perspectives on the Newton-Wigner position observable

authored by
Philip K. Schwartz, Domenico Giulini
Abstract

This paper deals with the Newton-Wigner position observable for Poincaré-invariant classical systems. We prove an existence and uniqueness theorem for elementary systems that parallels the well-known Newton-Wigner theorem in the quantum context. We also discuss and justify the geometric interpretation of the Newton-Wigner position as "center of spin", already proposed by Fleming in 1965 again in the quantum context.

Organisation(s)
CRC 1227 Designed Quantum States of Matter (DQ-mat)
Institute of Theoretical Physics
External Organisation(s)
Center of Applied Space Technology and Microgravity (ZARM)
University of Bremen
Type
Article
Journal
International Journal of Geometric Methods in Modern Physics
Volume
17
ISSN
0219-8878
Publication date
17.09.2020
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Physics and Astronomy (miscellaneous)
Electronic version(s)
http://arxiv.org/abs/2004.09723 (Access: Open)
https://doi.org/10.1142/S0219887820501765 (Access: Closed)