dorsal/arxiv
View SchemaControllability of Scattering States of Quantum Mechanical Systems
| Authors | Re-Bing Wu, Tzyh-Jong Tarn, Chun-Wen Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409121 |
| URL | https://arxiv.org/abs/quant-ph/0409121 |
Abstract
This paper provides a framework for the control of quantum mechanical systems with scattering states, i.e., systems with continuous spectra. We present the concept and prove a criterion of the approximate strong smooth controllability. Our results make non-trivial extensions from quantum systems with finite dimensional control Lie algebras to those with infinite dimensions. It also opens up many interesting problems for future studies.
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"abstract": "This paper provides a framework for the control of quantum mechanical systems\nwith scattering states, i.e., systems with continuous spectra. We present the\nconcept and prove a criterion of the approximate strong smooth controllability.\nOur results make non-trivial extensions from quantum systems with finite\ndimensional control Lie algebras to those with infinite dimensions. It also\nopens up many interesting problems for future studies.",
"arxiv_id": "quant-ph/0409121",
"authors": [
"Re-Bing Wu",
"Tzyh-Jong Tarn",
"Chun-Wen Li"
],
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"quant-ph"
],
"title": "Controllability of Scattering States of Quantum Mechanical Systems",
"url": "https://arxiv.org/abs/quant-ph/0409121"
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