📂Quantum Mechanics

Quantum Mechanics: The Position Operator

Definition

In quantum mechanics, the position operator $X$ is defined as follows for a wave function $\psi(x, t)$:

$$X \psi(x, t) = x \psi(x, t)$$

Description

The equation where the position operator is applied to a wave function can be interpreted in quantum mechanics as the act of measuring (observing) the position of the wave function.