23-24 December 2019
Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine
Europe/Kiev timezone

The Aharonov-Bohm effect and conic singularities for the Dirac equation

23 Dec 2019, 18:05
5m
322 (Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)

322

Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine

Metrolohichna Str. 14b, Kyiv, Ukraine
Poster Mathematical Physics Poster session

Speaker

Mr Eduard Naichuk (Taras Shevchenko National University of Kyiv )

Description

The solution of the problem of fermions scattering in one Aharonov-Bohm vortex involves constructing a one-parameter family of self-adjoint extensions. The Green function can be constructed from the corresponding solutions. The following is a comparison of quantum-mechanical scattering problem with quantum field theory problem on the search for correlation functions of fermion states. Namely, Green's function can be interpreted as correlation function in the space of fermion states. Also there is considered a similar problem about scattering of fermions on a conical singularity, which implies a similar analysis of the results.

Primary author

Mr Eduard Naichuk (Taras Shevchenko National University of Kyiv )

Co-author

Dr Nikolai Iorgov (Bogolyubov Institute for Theoretical Physics)

Presentation Materials

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