Complex Lagrangian dynamics
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915765942222848 |
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| author | Giardino, Sergio |
| author_facet | Giardino, Sergio |
| contents | In this article one introduces a formalism of classical mechanics where complex Lagrangian functions are admitted. The results include complex versions of the Lagrangian function, of the Euler-Lagrange equation, of the Hamilton principle, a geometric formulation, and the relation to a previous complex Hamiltonian formalism. The framework is particularly suitable for non-stationary motion, and various pathways can be followed in future investigation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22363 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complex Lagrangian dynamics Giardino, Sergio Mathematical Physics In this article one introduces a formalism of classical mechanics where complex Lagrangian functions are admitted. The results include complex versions of the Lagrangian function, of the Euler-Lagrange equation, of the Hamilton principle, a geometric formulation, and the relation to a previous complex Hamiltonian formalism. The framework is particularly suitable for non-stationary motion, and various pathways can be followed in future investigation. |
| title | Complex Lagrangian dynamics |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.22363 |