7. For a relativistic particle (of mass m and speed v), show that the following de Broglie relationships for frequency and wavelength A hold: V= A = me²/h √1-0²/² mv/h √1-0²/2² Then show that the phase velocity and the group velocity of the de Broglie waves for such a particle can be given by:

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7. For a relativistic particle (of mass m and speed v), show that the following de Broglie relationships
for frequency and wavelength A hold:
V=
A =
me²/h
√1-0²/²
mv/h
√1-0²/2²
Then show that the phase velocity and the group velocity of the de Broglie waves for such a
particle can be given by:
Vg = v
Transcribed Image Text:7. For a relativistic particle (of mass m and speed v), show that the following de Broglie relationships for frequency and wavelength A hold: V= A = me²/h √1-0²/² mv/h √1-0²/2² Then show that the phase velocity and the group velocity of the de Broglie waves for such a particle can be given by: Vg = v
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