A generalized Noether theorem for scaling symmetry
Mathematical Physics
2025-05-16 v6 High Energy Physics - Theory
math.MP
Abstract
The recently discovered conserved quantity associated with Kepler rescaling is generalised by an extension of Noether's theorem which involves the classical action integral as an additional term. For a free particle the familiar Schroedinger dilations are recovered. A general pattern arises for homogeneous potentials. The associated conserved quantity allows us to derive the virial theorem. The relation to the Bargmann framework is explained and illustrated by exact plane gravitational waves.
Cite
@article{arxiv.1903.05070,
title = {A generalized Noether theorem for scaling symmetry},
author = {P. -M. Zhang and M. Elbistan and P. A. Horvathy and P. Kosinski},
journal= {arXiv preprint arXiv:1903.05070},
year = {2025}
}
Comments
affiliation corrected