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A. Shapere and F . Wilczek, 'Self propulsion at low Reynolds numbers', Phys. Rev. Lett. ). B. ein Astronaut im Weltraum. Eine Translation oder Rotati3) Berry's Phase 4. Dezember 1998 - 29 - on aufgrund von Formveränderungen ist möglich wenn der Raum der Formen, die der Organismus durchlaufen kann gekrümmt ist. Eine effiziente Schwimmbewegung muß zyklisch sein und findet dann in einem Bereich mit hoher Krümmung stark. 3) Berry's Phase 4. Dezember 1998 Prof. Dieter Suter Quantenmechanische Paradoxa WS 98/99 4 .

Auch hier kann die Phase φ = φ dyn + φ geom . in einen dynamischen Teil φ dyn und einen geometrischen Teil φgeom getrennt werden. Der dynamische Teil ist gegeben durch den Erwartungswert der Energie φdyn = -i ∫dt (t) = -i ∫ dt <Ψ(t)|H(t)|Ψ(t)> , und der geometrische Teil als φgeom = i ∫dt <Ψ(t)| d |Ψ(t)> . h. durch die integrierte Krümmung der entsprechenden Hyperfläche. Experiment: NMR (D. T. Mueller, and A. Pines, 'Study of the Aharonov-Anandan Phase by NMR Interferometry', Phys. Rev. Lett.

3 . 3 . 2 . Der molekulare Aharonov-Bohm Effekt Systeme mit Jahn-Teller Verzerrung wurden schon im Kapitel 2 unter dem Titel "molekularer Aharonov-Bohm Effekt" vorgestellt. A. G. Truhlar, 'On the determination of Born-Oppenheimer nuclear motion wave functions including complications due to canonical intersections and identical nuclei', J. Chem. Phys. 70, 2284-2296 (1979). G. C. Longuet-Higgins, 'Intersection of potential energy surfaces in polyatomic molecules', Discuss. Faraday Soc. 35, 77 (1963).

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Quantenmechanische Paradoxa by Suter D.


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