Greatest probability density is in the center, where it shows brightest.

However, terms become 0 at points where either variable has finite probability density.

A proper relativistic theory with a probability density current must also share this feature.

Now construct a probability density of the potential energy from the above equation:

This result corresponds to the normal probability density for x with mean 0 and variance 2αt.

The probability density does not go to zero at the nodes if relativistic effects are taken into account.

The probability density must be scaled by so that the integral is still 1.

The total area of a histogram used for probability density is always normalized to 1.

The first is the continuity equation for the probability density :

The energy "E" can be considered a random variable, having the probability density.