Homework Help: For Deriving De Broglie' Wavelength

I would like to give a somewhat valid derivation of the de Broglie equation. I had given a similar derivation on another thread discussing the same problem.
Here goes:
In order to come up with the wavelength of the matter wave of a particle, we need to consider the wave properties of that particle, like phase velocity, group velocity, crests, etc. Now, the phase velocity is given by V=w/k, where w is the angular frequency and k is the wave number and the group velocity is v=dw/dk, a differential. The phase velocity is associated with a single wavelength and the group velocity is associated with a wave having a number of waves, each of different frequency.
Now, first considering the virtual photon of the particle. A virtual photon is actually a quantum of energy exchanged between the electron and the proton in and atom or between electron and electron. It is emitted by all particles, like pions, neutrons, protons, etc. As it is energy and energy travels at the speed of light, we have the relation of energy in the virtual photon as E = mc^2 and also as E = hc/lambda, which gives the first result as λ = h/mc.
De Broglie hypothesized that the particle itself was not a wave, but always had with it a pilot wave, or the virtual photon or a wave that helps guide the particle through space and time. He postulated that the group velocity of the wave was equal to the actual velocity of the particle.
However, the phase velocity would be very much different. He saw that the phase velocity was equal to the angular frequency divided by the wavenumber. Since he was trying to find a velocity that fit for all particles (not just photons) he associated the phase velocity with that velocity. He equated these two equations:
V = ω/k(which the eqn for the wave) = E/p(which is the eqn for the particle)
From this new equation from the phase velocity we can derive:
V = mc^2/m v = c^2/v
Applied to Einstein’s energy equation, we have:
E = pV = mv(c^2/v)
Also, the wavelenght of the matter wave (or any wave), is given as the phase velocity divided by the frequency of the wave. Hence, λ = V/f.
Now we can get to an actual derivation of the De Broglie equation:
p = E/V
p = (hf)/V
p = h/λ
With a little algebra, we can switch this to get λ = h/mv.
I hope this helps in understanding the concept.