Can Electrons Truly Exhibit Wave-Like Behavior in Motion?

[sarvesh0303]

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?

 

[Matterwave]

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.

 

[Khashishi]

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.