Charge Density (quantum Mechanics)
In quantum mechanics, charge density ρq is related to wavefunction ψ(r) by the equation
where q is the charge of the particle and |ψ(r)|2 = ψ*(r)ψ(r) is the probability density function i.e. probability per unit volume of a particle located at r.
When the wavefunction is normalized - the average charge in the region r ∈ R is
where d3r is the integration measure over 3d position space.
Read more about this topic: Charge Density
Famous quotes containing the word charge:
“I never thought that the possession of money would make me feel rich: it often does seem to have an opposite effect. But then, I have never had the opportunity of knowing, by experience, how it does make one feel. It is something to have been spared the responsibility of taking charge of the Lord’s silver and gold.”
—Lucy Larcom (1824–1893)