Gauge transformation Aharonov-Bohm effect

Another example of a physical effect of this type is the Aharonov-Bohm effect, which is supported by a multiply connected vacuum configuration such as that described by the 0(3) gauge group [6]. The Aharonov-Bohm effect is a gauge transform of the true vacuum, where there are no potentials. In our notation, therefore the Aharonov-Bohm effect is due to terms such as (1/ )8 , depending on the geometry chosen for the experiment. It is essential for the Aharonov-Bohm effect to exist such that (1/ )8 be physical, and not random. It follows therefore that the vacuum configuration defined by the... 

The problem of gauge transform also surfaces when Schrodinger s equation is employed to study the Aharonov-Bohm effect. If the transform = oejv is performed within Schrodinger s equation ... 

In the 0(3) invariant theory of the Aharonov-Bohm effect, the holonomy consists of parallel transport using 0(3) covariant derivatives and the internal gauge space is a physical space of three dimensions represented in the basis ((1),(2),(3)). Therefore, a rotation in the internal gauge space is a physical rotation, and causes a gauge transformation. The core of the 0(3) invariant explanation of the Aharonov-Bohm effect is that the Jacobi identity of covariant derivatives [46]... 

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