PhilSci Archive

Iterative Interplay between Aharonov-Bohm Deficit Angle and Berry Phase

Binder, Bernd (2002) Iterative Interplay between Aharonov-Bohm Deficit Angle and Berry Phase. [Preprint]


Download (214kB)


Geometric phases can be observed by interference as preferred scattering directions in the Aharonov-Bohm (AB) effect or as Berry phase shifts leading to precession on cyclic paths. Without curvature single-valuedness is lost in both case. It is shown how the deficit angle of the AB conic metric and the geometric precession cone vertex angle of the Berry phase can be adjusted to restore single-valuedness. The resulting interplay between both phases confirms the non--linear iterative system providing for generalized fine structure constants obtained in the preliminary work. Topological solitons of the scalar coupling field emerge as localized, non-dispersive and non-singular solutions of the (complex) sine-Gordon equation with a relation to the Thirring coupling constant and non-linear optics.

Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Binder, Bernd
Keywords: abelian, local, non-pertubative, nonabelian, nonlocal, geometric, phase, berry, sine-Gordon, Aharonov, Bohm, Thirring, fine structure, memory, curvature, spacetime, iteration, iterative
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Bernd Binder
Date Deposited: 18 Sep 2002
Last Modified: 07 Oct 2010 15:11
Item ID: 810

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item