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Question

What physical meaning is attributed to ψ2\psi^2, the square of the wave function?

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Ψ\Psi is a wave function\textbf{wave function}. It is a mathematical description of the state of the electron but it has no physical meaning. However, Ψ2\Psi ^2 has a physical meaning.

Ψ2\Psi ^2 is the probability density\textbf{probability density}. It is a probability of finding an electron at a particular tiny volume.

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