The Wavefunction of a Localized Electron

Wavefunction resulting fixjm addition of an infinite number of waves with differing wavelengths 

Since the delta function is made up of an infinite number of sinusoidal waves with differing wavelengths, and therefore differing k values, there is an infinite uncertainty in the momentum of the particle, with each sinusoidal wave representing a different momentum according to the formula p = iik. 

Conclusion the position of the partide is known, but there is an infinite uncertainty eis to its momentum. 

This uncertainty arises from the wave nature of matter. 

The position of an electron moving in one dimension is determined to an accuracy of 0.01 nm by reflection of a photon. Calculate the simultaneous uncertainty in the velodty of the electron at the moment of localization. 

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