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In my lecture notes, I had written a lot about particles having "wavelike properties" and "measurable wavelike properties" and how a particle must have wavelike properties to work in DeBroglie's wave equation. Can someone expain exactly what these "wavelike properties" are? Thank you!
Wavelike properties is talking about things like amplitude, frequency, and wavelength. Only particles with small enough mass will exhibit wavelike properties, which can be proven by DeBroglie's equation. Things with wavelengths less than 10^-15m are widely considered to not exhibit wavelike properties.
Diffraction is the main one that he discussed in class. Constructive interference, where waves with same peaks interact with one another and gain amplitude, and destructive interference, where peaks interact with troughs and diminish in amplitude, both also can be used to describe diffraction patterns that show wavelike properties.
Essentially, there is evidence that electromagnetic radiation has "wave-like properties" as you said. The most prevalent evidence is the concept of diffraction, which is when an object is in a light ray's path, it generates patterns of high and low intensities, which causes light to oscillate up and down. We can also see diffraction patterns which occur when the peaks/troughs of a light wave interfere with the peaks/troughs of another light wave. These are different from the particle model that's also accepted within the wave-particle duality of electromagnetic radiation.
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