According to de Broglie hypothesis, a moving electron is associated with a wave. The velocity of an electron (v) is equal to the group velocity (vg) of the associated wave. The group velocity is given by:
where ω is the angular frequency (2πν) and K is the propagation vector of the wave.
In quantum mechanics, the energy, ‘E’ of an electron is given by:
E = ħω _____ (5.77)
Differentiating Equation (5.77) with respect to ‘K’ , we get:
In quantum theory, ...