Combining SR and the Broglie Wavelength equations: Are they cumulative?

[That fast guy]

I don't think this would ever come up on any of my tests in high school, but how would one answer a question combining the Broglie Wavelength of a particle and Special relativity?
Are they cumulative?

BW : λ= h/mv

 

[Matterwave]

What do you mean by "combine"?

 

[That fast guy]

like when the wavelength shortens when the particle goes faster, would, from a stationary reference point relative to the particle's motion, because of the motion, the wavelength appear to be even shorter?

 

[Bill_K]

Sounds like you're wanting to count the same effect twice, fast guy. The relationships are E = ħω, p = ħk, and these hold even for relativistic particles and in all reference frames. If the particle is relativistic, use p = γmv, that's all.