Finite Difference-Time Domain solution of the Dirac equation and the dynamics of the Aharonov-Bohm effect - Quantum PhysicsReport as inadecuate




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Abstract: The time-dependent Dirac equation is solved using the three-dimensionalFinite Difference-Time Domain FDTD method. The dynamics of the electron wavepacket in a vector potential is studied in the arrangements associated with theAharonov-Bohm effect. The solution of the Dirac equation showed a change in thevelocity of the electron wave packet even in a region where no forces acted onthe electron. The solution of the Dirac equation agreed with the prediction ofclassical dynamics under the assumption that the dynamics was defined by theconservation of generalized or canonical momentum. It was also shown that inthe case when the magnetic field was not zero, the conservation of generalizedor canonical momentum was equivalent to the action of the Lorentz force.



Author: Neven Simicevic

Source: https://arxiv.org/







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