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The wave-frequency relationship is as follows:

f = v / [tex]\lambda[/tex]

Therefore:

v = [tex]\lambda[/tex] * f

The de Broglie relations are as follows:

[tex]\lambda[/tex] = h / p

f = E / h

Using some basic algebra:

v = (h / p) * (E / h)

v = E / p

v = [tex]\gamma[/tex]mc[tex]^{}2[/tex] / [tex]\gamma[/tex]mv

v = c[tex]^{}2[/tex] / v

Now, assuming a natural unit system with c=1

v = 1 / v

That doesn't seem to make sense. Where is my error?

f = v / [tex]\lambda[/tex]

Therefore:

v = [tex]\lambda[/tex] * f

The de Broglie relations are as follows:

[tex]\lambda[/tex] = h / p

f = E / h

Using some basic algebra:

v = (h / p) * (E / h)

v = E / p

v = [tex]\gamma[/tex]mc[tex]^{}2[/tex] / [tex]\gamma[/tex]mv

v = c[tex]^{}2[/tex] / v

Now, assuming a natural unit system with c=1

v = 1 / v

That doesn't seem to make sense. Where is my error?

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