Probability density for the position in quantum mechanics ↩

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created: 2021-12-11 06:38:13
modified: 2022-01-10 04:13:04

In quantum mechanics, as we seen in the Born rule, the probability density for the position of the particle is the following:

Where is the wave function, a square-integrable function, a unit vector in Hilbert space.

Expectation value

According to the standard definitions in probability theory, the expectation value of the position will be the following: