Struggling to understand the de Broglie equation

[LukeeeeBennet]

So, I've come across a new page in my revision guide in the Quantum Phenomena section, labelled "de Broglie wavelength".

My old enemy.

Now, I understand the theory behind wave-particle duality, I just don't understand this chunk of de Broglie and his equation.

Here it reads "The de Broglie wave of a particle can be interpreted as a 'probability wave'."

So, what does this actually mean?

 

[Amok]

It means that you can interpret it as wave carrying the information about the probability that a particle will be in a certain place. In the "standard" interpretation of QM, the probability that a particle will be in a certain place is proportional to the "square" of the wavefunction:

$$P(r)dP = {\left | \psi(r) \right |}^2 dr$$

I think this is what they mean although I find this kind of strange. What kind of book are you reading?