A meaningful optimal control problem in quantum and classical physics
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912489133834240 |
|---|---|
| author | Lazarus, Arnaud Trélat, Emmanuel |
| author_facet | Lazarus, Arnaud Trélat, Emmanuel |
| contents | In this paper we study and solve an optimal control problem motivated by applications in quantum and classical physics. Although apparently simple, this optimal control problem is not easy to solve and we resort to various elaborated methods of optimal control theory. We finally show its relationships to two problems in physics: the computation of the ground state for 1D Schr{ö}dinger operators with a finite potential well, and the optimal dynamical Kapitza stabilization problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13125 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A meaningful optimal control problem in quantum and classical physics Lazarus, Arnaud Trélat, Emmanuel Optimization and Control Quantum Physics In this paper we study and solve an optimal control problem motivated by applications in quantum and classical physics. Although apparently simple, this optimal control problem is not easy to solve and we resort to various elaborated methods of optimal control theory. We finally show its relationships to two problems in physics: the computation of the ground state for 1D Schr{ö}dinger operators with a finite potential well, and the optimal dynamical Kapitza stabilization problem. |
| title | A meaningful optimal control problem in quantum and classical physics |
| topic | Optimization and Control Quantum Physics |
| url | https://arxiv.org/abs/2507.13125 |