Ervin Goldfain. Geometric Phase as Analog of Fractional Exponential Function
Submitted on: Mar 05, 2019, 13:08:12
Natural Sciences / Physics / Quantum field theory
Description: The notion of geometric phase arises in connection with parallel transport in differential geometry and the formulation of gauge transformation in field theory. Here we show that the geometric phase is locally equivalent to the action of fractional exponential, which is applicable to manifolds having minimal fractal topology or for modeling complex phenomena using fractional calculus.
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Geometric Phase as Analog of Fractional Exponential Function.pdf