Details
| Original language | English |
|---|---|
| Article number | 2050176 |
| Journal | International Journal of Geometric Methods in Modern Physics |
| Volume | 17 |
| Issue number | 12 |
| Publication status | Published - 17 Sept 2020 |
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.
Keywords
- elementary systems, Hamiltonian mechanics, localization, Newton-Wigner position, Poincaré invariance, Position observable
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: International Journal of Geometric Methods in Modern Physics, Vol. 17, No. 12, 2050176, 17.09.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Classical perspectives on the Newton-Wigner position observable
AU - Schwartz, Philip K.
AU - Giulini, Domenico
N1 - Funding Information: This work was supported by the Deutsche Forschungsgemeinschaft through the Collaborative Research Center 1227 (DQ-mat), projects B08/A05.
PY - 2020/9/17
Y1 - 2020/9/17
N2 - 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.
AB - 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.
KW - elementary systems
KW - Hamiltonian mechanics
KW - localization
KW - Newton-Wigner position
KW - Poincaré invariance
KW - Position observable
UR - http://www.scopus.com/inward/record.url?scp=85093529080&partnerID=8YFLogxK
U2 - 10.1142/S0219887820501765
DO - 10.1142/S0219887820501765
M3 - Article
AN - SCOPUS:85093529080
VL - 17
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
SN - 0219-8878
IS - 12
M1 - 2050176
ER -