Wavelength associated with the body - What does it mean?

[jaumzaum]

I was studying De Broglie Theory in which all bodies in movement have a de broglie wavelength associated with it. But what it means?
The body's speed (Vb) is different from the wave-associated speed (Vw)
Vw=λ f and Vb ≠λ f

Which wave is that? Is it the wave emitted by the body as it is in movement (by Maxwell theory if a body is moving it emits eletromagnetic waves), and in this case, is Vw = c?

[]s
John

 

[haruspex]

Hi John,
Not an area I know anything about, but from a little Googling, http://en.wikipedia.org/wiki/Matter_wave#Special_relativity, λf = c²/v, making it always superluminal. It certainly is not an emitted wave.

 

[ehild]

After discovering that light have properties of particles, and the light particles, photons, have energy E=hf and momentum p=h/λ, the question arose if particles can have wave property with wavelength associated to their momentum p=mv: λ=h/p=h/(mv).
It is suggestive that the length of the Bohr orbits are integer multiples of the de Broglie wavelenghts.
If electron is a wave, it has to be diffracted by slits or gratings; and it does diffract on crystal lattices like X rays.
If it is a wave why not construct microscopes working with electron beams? And such microscopes are widely spread and used now.

Read http://hyperphysics.phy-astr.gsu.edu/hbase/debrog.html

ehild