Galilean invariance in 2+1 dimensions
Y. Brihaye, C. Gonera, S. Giller, P. Kosinski
TL;DR
This paper explores the structure of Galilean invariance in 2+1 dimensions, revealing a three-parameter family of projective representations and discussing their physical significance.
Contribution
It identifies and analyzes a new family of projective representations of the Galilei group in 2+1 dimensions, providing insights into their physical interpretation.
Findings
Discovery of a three-parameter family of projective representations
Discussion of the physical meaning of these representations
Enhanced understanding of Galilean invariance in lower dimensions
Abstract
The Galilean invariance in three dimensional space-time is considered. It appears that the Galilei group in 2+1 dimensions posses a three-parameter family of projective representations. Their physical interpretation is discussed in some detail.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Geophysics and Sensor Technology · Relativity and Gravitational Theory