Saturation of a spin-1/2 particle by generalized local control
Abstract: We show how to apply a generalization of local control design to the problem of the saturation of a spin-1/2 particle by magnetic fields in nuclear magnetic resonance. The generalization of local or Lyapunov control arises from the fact that the derivative of the Lyapunov function does not depend explicitly on the control field. The second derivative is used to determine the local control field. We compare the efficiency of this approach with that of the time-optimal solution that has recently been derived using geometric methods
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Notes
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New journal of physics. - 13, 7 (2011) , 073001, ISSN: 1367-2630
- Event
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Veröffentlichung
- (where)
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Freiburg
- (who)
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Universität
- (when)
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2019
- Creator
- Contributor
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FRIAS School of Soft Matter Research
- DOI
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10.1088/1367-2630/13/7/073001
- URN
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urn:nbn:de:bsz:25-freidok-954406
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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25.03.2025, 1:51 PM CET
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Mintert, Florian
- Lapert, Marc
- Zhang, Yuanbin
- Glaser, Steffen J.
- Sugny, Dominique
- FRIAS School of Soft Matter Research
- Universität
Time of origin
- 2019