Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.17560 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910500834508800 |
|---|---|
| author | Majhi, Pratik Panja, Madan Mohan Sarkar, Pranab Talukdar, Benoy |
| author_facet | Majhi, Pratik Panja, Madan Mohan Sarkar, Pranab Talukdar, Benoy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17560 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Null Lagrangians in Schwarzian mechanics Majhi, Pratik Panja, Madan Mohan Sarkar, Pranab Talukdar, Benoy Mathematical Physics 49.xxx I.1 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. |
| title | Null Lagrangians in Schwarzian mechanics |
| topic | Mathematical Physics 49.xxx I.1 |
| url | https://arxiv.org/abs/2406.17560 |