2025/02/21 by Bahram Houchmandzadeh, Houchmandzadeh, Bahram
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories #Classical Physics (physics.class-ph) #FOS: Physical sciences #Mathematics and Applications #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2502.19438
openalex publication_date 2025/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Noether's theorem is a cornerstone of analytical mechanics, making the link between symmetries and conserved quantities. In this article, I propose a simple, geometric derivation of this theorem that circumvents the usual difficulties that a student of this field usually encounters. The derivation is based on the direct use of the differential form pdq -Hdt, where p is the momentum and H the Hamiltonian, integrated over a simple curve.