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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Grigorii Safianov
Algebraic Modelling of Charge Motion Under Magneto-Dimensional Resonance
Applied Mathematics
(Bachelor’s programme)
10
2018
The motion of a spinless charged particle in a thin layer located in a homogeneous magnetic field is considered. For the case of coincidence of the cyclotron frequency and the frequency of transverse oscillations the influence of small perturbations is investigated. The appearance of a longitudinal geometric current in a curved layer is shown. After addition a weak longitudinal electric field there emerges a Hall current. The interaction of induced currents is studied. An example of the shape of a layer is shown where the the Hall effect is suppressed by geometric currents. Also a layer is given where the current is induced in the direction of the applied electric field.

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