3 Vector potential Consider a homogeneous magnetic field in z-direction, B = (0,0, B). a.) Determine 2 possible vector potentials A and A' for B such that A only has an ar-component and A' only has a y-component. b.) Show that these two vector fields A and A' are related by a gauge transformation and give the determining transformation, i.e. give the function A(7) such that A' = A + VA
3 Vector potential Consider a homogeneous magnetic field in z-direction, B = (0,0, B). a.) Determine 2 possible vector potentials A and A' for B such that A only has an ar-component and A' only has a y-component. b.) Show that these two vector fields A and A' are related by a gauge transformation and give the determining transformation, i.e. give the function A(7) such that A' = A + VA
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Transcribed Image Text:3 Vector potential
Consider a homogeneous magnetic field in z-direction, B = (0,0, B).
a.) Determine 2 possible vector potentials A and A' for B such that A only has an z-component and A'
only has a y-component.
b.) Show that these two vector fields A and A' are related by a gauge transformation and give the determining
transformation, i.e. give the function A(7) such that A' = A + VA.
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