Question

how do de broglie ways of moving particles differ from electromagnetic waves?​

Answer 1

Answer:

This answer can go in a number of different directions.  Light is light and matter is matter, and most people can think of several differences between them.

However, when discussing waves, one of the main properties is the "dispersion relation," that is, how the frequency of the wave relates to the wavelength of the wave. In this area, electromagnetic waves are very different than de Broglie waves (non-relativistic matter waves).

It turns out to be simpler to use angular frequency instead of frequency itself.  Angular frequency is 2 pi times frequency—radians per second rather than cycles per second.  And it's simpler to use wave number rather than wavelength.  Wave number is the number of wavelengths within a fixed distance [say, a meter], again times 2 pi.

The dispersion relationship for electromagnetism is that the angular frequency is linearly proportional to the wave number.  And the constant of proportionality is the speed of light. For de Broglie waves, the angular frequency is proportional to the square of the wave number. And the constant of proportionality is Planck's Constant divided by twice the mass of the particle.

These differences are why light waves and matter waves behave very differently.

Explanation:

Answer 2

★☆〖Qบęຮτ ı¨ ø nˇ〗☆★

⭐The Dual Nature of Matter⭐

=> de-Broglie's Principle states that "All material particles in motion possess wave characteristics..."

=> de-Broglie's Relationship can be derived by combining the mass and energy relationships proposed by Max Planck, and Albert Einstein...

E = ∫c²dm = Σc²Δm = mc²

E = hν

=> The combination of these two yielded the desired result:

λ = h/mc

=> The above equation is valid for a Photon(γ⁰)

=> The same relation can be extended to every particle of this universe, if the speed of light in vacua(c) is replaced by the ordinary velocity of the particle:

$\: \: \: \: \: \: \: \: \: λ = \frac{h}{ \: mv⃗}$

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