TITLE: Does the wavelenth of matter waves depend upon the kinetic energy of the particle or object?
QUESTION [0 upvotes]: Do the properties of the waves (wavelength,frequency) emitted by a particle or  object depend upon the velocity, or as to say its kinetic energy? Is the De Broglie equation $E = h \nu $ applicable to matter waves as well?

REPLY [0 votes]: 1- Matter wave is not emitted by the particle, but it is a probability density wave-function. If you calculated the amplitude of this function, squared it, and integrated the result over a certain volume, it will give you the probability to find the particle within this volume
2- Yes, Total Energy (rest energy + kinetic energy)= $hf$, where $\lambda f = u $, and $u$ is the speed of the matter wave
$u$ is higher than light speed as it is the speed on a mathematical function, not a physical object, energy or information.
The relation between $u$ and $v$ is:
$C^2= uv$, where $v$, is the particle speed, and C is the speed of light in free space.
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