TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysLectNotes.93
TI  - Galilei particles revisited
PY  - 2025/03/13
UR  - https://scipost.org/SciPostPhysLectNotes.93
JF  - SciPost Physics Lecture Notes
JA  - SciPost Phys. Lect. Notes
SP  - 93
A1  - Figueroa-O'Farrill, José
AU  - Pekar, Simon
AU  - Perez, Alfredo
AU  - Prohazka, Stefan
AB  - We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group. Equivalently, these are coadjoint orbits and unitary irreducible representations of the Bargmann group, the universal central extension of the Galilei group. We provide an action principle in each case, discuss the nonrelativistic limit, as well as exhibit, whenever possible, the unitary irreducible representations in terms of fields on Galilei spacetime. Motivated by a forthcoming study of planons we pay close attention to the mobility of the less familiar massless Galilei particles.
ER  -

@Article{10.21468/SciPostPhysLectNotes.93,
	title={{Galilei particles revisited}},
	author={José Miguel Figueroa-O'Farrill and Simon Pekar and Alfredo Pérez and Stefan Prohazka},
	journal={SciPost Phys. Lect. Notes},
	pages={93},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysLectNotes.93},
	url={https://scipost.org/10.21468/SciPostPhysLectNotes.93},
}