@MASTERSTHESIS{ 2021:664343025, title = {Aharonov-Bohm Effect in the Podolsky’s Generalized Electrodynamics}, year = {2021}, url = "https://bdtd.unifal-mg.edu.br:8443/handle/tede/2579", abstract = "Maxwell’s electromagnetism rewrote the four experimental laws of classical electrodynamics by combining fields, sources, charges, and electricity. If we propose a Lagrangian analysis of Maxwell’s theory with higher-order derivatives, making it also free of gauges, we obtain the so-called Podolsky electrodynamics. As a higher-order electrodynamics, Podolsky’s electrodynamics is studied as a generalization of Maxwell’s theory, becoming a specific case of Podolsky when the free parameter is zero. From these theories, we will study the magnetic effect of Aharonov-Bohm, where electric charges are affected by the magnetic field through its potential vector in a solenoid. In classical theory, the magnetic field should not exist in the region where the charges pass; only the potential could cause such an alteration. The result is differences in electrons, particularly in their phases in quantum mechanics between wave functions, in a specific amount called the Aharonov-Bohm phase. In this thesis, the Aharonov-Bohm effect is studied for the Maxwell case and the Podolsky case, comparing the difference that a potential vector can make in these results and the phase effect even in areas without a magnetic field.", publisher = {Universidade Federal de Alfenas}, scholl = {Programa de Pós-graduação em Física}, note = {Instituto de Ciência e Tecnologia} }