Can Electrons Truly Exhibit Wave-Like Behavior in Motion?

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Electrons exhibit wave-like behavior through phenomena such as interference and diffraction, rather than following a zig-zag path. The concept of an electron having a width does not imply it occupies multiple locations simultaneously. Instead, the wave model describes a complex phase that rotates mathematically, which is not directly observable. The wavelength relates to the periodic nature of the electron's motion in a longitudinal direction. This understanding of electron behavior is crucial for interpreting quantum mechanics and the resulting interference patterns.
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When we talk about electrons behaving as waves in motion, is it that the path of the motion of the electron is in a wave-like shape?
Can one electron behave as a wave which has a width? If it does, then how is it possible?
Wouldn't the wave having a width(3-dimensional width) imply that the electron needs to be at two places at the same time?
 
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No, when we say electrons behaves as waves, we do not mean that they travel in zig-zag. They behave like waves because they exhibit wave-like behavior such as interference and diffraction.
 
The wave doesn't move back and forth in a transverse direction. The wavelength has to do with the period in the longitudinal direction of the electron motion. The wave model of the electron has a complex phase which rotates around in angle (not a spatial angle, just a mathematical one). The phase is not observable and we only infer it through the appearance of interference patterns.
 

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