[AdiDex]

My teacher told us that matter wave can travel faster than light..!
I've questioned him that how is this possible, it will violate the Einstein's Relativity ,nothing can go faster than speed of light
 then he gave me example they told me assume a aeroplane is going with some speed but the disturbance it producing will go faster than it.
Similarly this happens in the case of matter wave.
Einstein's theory is applied to mass. According to him ( My Sir )

But  I am not satisfied with his answer .
So my point is
According to Einstein , mass and energy are just two sides of one coin. If No matter can go faster than speed of light than Energy will also can't cross the limit.
And what I think matter wave is not a disturbance , it does not have energy...!!
That why it can go faster than light.

Now tell me the flaws in my statement and in my sir's statement.
And how can i visualize the matter wave ? What are their significance ..?
 ( I know it is an odd question , but question is question )

[Borek]

Your teacher is wrong, disturbance can't move faster than the speed of light, period.

[AdiDex]

 He used this derivation -

Velocity ( V_wave) = f * λ

V_wave. = E/h * h /p

V_wave = mc²/h  *  h/mv

V_wave. = c² / v

V_wave ≥ c

[mjc123]

See http://en.wikipedia.org/wiki/Matter_wave
"Group velocity (equal to the particle's speed) should not be confused with phase velocity (equal to the product of the particle's frequency and its wavelength)..."
"The superluminal phase velocity does not violate special relativity, because phase propagation carries no energy..."