An obstruction to small-time controllability of the bilinear Schr{ö}dinger equation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866917696660045824 |
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| author | Beschastnyi, Ivan Boscain, Ugo Sigalotti, Mario |
| author_facet | Beschastnyi, Ivan Boscain, Ugo Sigalotti, Mario |
| contents | In this article we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditions for small-time controllability of classical systems and quantum systems using the WKB method. In particular, we investigate the conjecture that if the classical system is not small-time controllable, then the corresponding quantum system is not small-time controllable either. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_12994 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | An obstruction to small-time controllability of the bilinear Schr{ö}dinger equation Beschastnyi, Ivan Boscain, Ugo Sigalotti, Mario Optimization and Control Mathematical Physics In this article we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditions for small-time controllability of classical systems and quantum systems using the WKB method. In particular, we investigate the conjecture that if the classical system is not small-time controllable, then the corresponding quantum system is not small-time controllable either. |
| title | An obstruction to small-time controllability of the bilinear Schr{ö}dinger equation |
| topic | Optimization and Control Mathematical Physics |
| url | https://arxiv.org/abs/1911.12994 |