The time-averaged electrostatic potential of a neutral hydrogen atom is given by Φ(vec(r)) = [q / (4πε0)] * [e-αr / r] * (1 + αr / 2). The classical net charge distribution ρ(r) corresponding to this potential is:

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Physics · Electrodynamics

The time-averaged electrostatic potential of a neutral hydrogen atom is given by Φ(vec(r)) = [q / (4πε0)] * [e-αr / r] * (1 + αr / 2). The classical net charge distribution ρ(r) corresponding to this potential is:

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-[q / (8π)] α3 e-αr + q δ3(vec(r))

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Answer 1

q e-αr (1 + αr / 2)

Answer 2

-[q / (8π)] α3 e-αr

Answer 3

-[q / (8π)] α3 e-αr + q δ3(vec(r))

Answer 4

[q / (8π)] α3 e-αr (1 + αr / 2) - q δ3(vec(r))

The time-averaged electrostatic potential of a neutral hydrogen atom is given by Φ(vec(r)) = [q / (4πε0)] * [e-αr / r] * (1 + αr / 2). The classical net charge distribution ρ(r) corresponding to this potential is:

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The time-averaged electrostatic potential of a neutral hydrogen atom is given by Φ(vec(r)) = [q / (4πε0)] * [e-αr / r] * (1 + αr / 2). The classical net charge distribution ρ(r) corresponding to this potential is:

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