N. Bruce Hannay

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Cartan - Hannay - Berry Phases and Symmetry

We give a systematic treatment of the treatment of the classical Hannay-Berry phases for mechanical systems in terms of the holonomy of naturally constructed connections on bundles associated to th~ system. We make the costructions using symmetry and reduction and, for moving systems, we use the Cartan connection. These ideas are woven with the idea of Montgomery [1988] on the averaging of conn...

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The effect of the Coriolis force on a moving system can be described as a holonomy with respect to a particular connection known as the Cartan–Hannay–Berry connection. The resulting geometric phase is called the Hannay–Berry phase, and it provides direct information about the imposed motion on the system. This approach assumes that the imposed motion is adiabatic. In this paper we describe the ...

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ژورنال

عنوان ژورنال: Physics Today

سال: 1997

ISSN: 0031-9228,1945-0699

DOI: 10.1063/1.881702