2004/03/10 by Jozef Hanč, Slavomir Tuleja, Martina Hančová · 2 citations
Physics and Astronomy · Mathematics · #Relativity and Gravitational Theory #Cosmology and Gravitation Theories #Quantum Mechanics and Applications #Noether's theorem #Conservation law #Galilean transformation #Physics #Symmetry (geometry) #Galilean #Lorentz transformation #Mathematical physics #Homogeneous space #Action (physics) #Transformation (genetics) #Classical mechanics #Motion (physics) #Theoretical physics #Calculus (dental) #Lagrangian #Mathematics #Quantum mechanics #Geometry
paper · doi:10.1119/1.1591764
openalex publication_date 2004/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/17
We derive conservation laws from symmetry operations using the principle of least action. These derivations, which are examples of Noether’s theorem, require only elementary calculus and are suitable for introductory physics. We extend these arguments to the transformation of coordinates due to uniform motion to show that a symmetry argument applies more elegantly to the Lorentz transformation than to the Galilean transformation.