Two electrons are sitting at (1,2,3) and (3,3,5). A proton is flying with velocity vp along the z-axis starting at (0,0,0) at time zero. Write the atomistic charge density as a function of space and time. Hint: ri becomes a function of time itself. Write the atomistic current density of the trio. Write magnetic field from Biot-Savart integral for the three.
Two electrons are sitting at (1,2,3) and (3,3,5). A proton is flying with velocity vp along the z-axis starting at (0,0,0) at time zero. Write the atomistic charge density as a function of space and time. Hint: ri becomes a function of time itself. Write the atomistic current density of the trio. Write magnetic field from Biot-Savart integral for the three.
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Two electrons are sitting at (1,2,3) and (3,3,5). A proton is flying with velocity vp along the z-axis starting at (0,0,0) at time zero. Write the atomistic charge density as a function of space and time. Hint: ri becomes a function of time itself. Write the atomistic current density of the trio. Write magnetic field from Biot-Savart integral for the three. Think what that delta function does to the integral. Side-note: this will be a nonrelativistic approximation.
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