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Position Operator in Quantum Mechanics 📂Quantum Mechanics

Position Operator in Quantum Mechanics

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.