Classical and Bohmian trajectories in integrable and non integrable systems
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913581131366400 |
|---|---|
| author | Contopoulos, George Tzemos, Athanasios C. |
| author_facet | Contopoulos, George Tzemos, Athanasios C. |
| contents | In the present paper we study the classical and the quantum Hénon-Heiles systems. In particular we make a comparison between the classical and the quantum trajectories of the integrable and of the non integrable Hénon Heiles Hamiltonian. From a classical standpoint, we study theoretically and numerically the form of the invariant curves in the Poincaré surfaces of section for several values of the coupling parameter of the integrable case and compare them with those of the non integrable case. Then we study the corresponding Bohmian trajectories and we find that they are chaotic in both cases, but chaos emerges at different times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12472 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classical and Bohmian trajectories in integrable and non integrable systems Contopoulos, George Tzemos, Athanasios C. Chaotic Dynamics Quantum Physics In the present paper we study the classical and the quantum Hénon-Heiles systems. In particular we make a comparison between the classical and the quantum trajectories of the integrable and of the non integrable Hénon Heiles Hamiltonian. From a classical standpoint, we study theoretically and numerically the form of the invariant curves in the Poincaré surfaces of section for several values of the coupling parameter of the integrable case and compare them with those of the non integrable case. Then we study the corresponding Bohmian trajectories and we find that they are chaotic in both cases, but chaos emerges at different times. |
| title | Classical and Bohmian trajectories in integrable and non integrable systems |
| topic | Chaotic Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2411.12472 |