Null Lagrangians in Schwarzian mechanics

Autor:	Majhi, Pratik, Panja, Madan Mohan, Sarkar, Pranab, Talukdar, Benoy
Rok vydání:	2024
Předmět:	Mathematical Physics 49.xxx I.1
Druh dokumentu:	Working Paper
Popis:	In addition to standard and non-standard Lagrangians of classical mechanics, we consider, in this work, null Lagrangians that (i) identically satisfy the Euler-Lagrange equation and at the same time can be expressed as (ii) the total derivative of some scalar function. As an addendum to the properties in (i) and (ii) we find that null Lagrangians are also characterized by (iii) vanishing energy functions or Jacobi integrals. By working with higher-order SL(2;R) invariant Schwarzian derivatives introduced recently by Krivonos we demonstrate that these Schwarzians, especially the even-order ones, provide a natural basis to introduce higher-order null Lagrangians in Schwarzian mechanics. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.17560 Zobrazit plný text záznamu View this record from Arxiv