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Does a particle at rest behave like a wave?

Muon321
in Quantum Theory

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If a particle at rest has a momentum of 0, it still has a normal frequency, but it has a wavelength of undefined, so how does that work? What's going on with that wave?

If the particle were truly at rest, its spatial wave function would have an infinite extent, i.e. you could find it anywhere. However, that's not a situation you can achieve. There will always be an uncertainty in the momentum.

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