Calculation Based On Semiclassical Theory
In the semiclassical picture, the state vector of electrons is
- .
If the nonvanishing dipole matrix elements are described by
- for V-type atoms,
- for -type atoms,
then each atom has two microscopic oscillating dipoles
- for V-type, when ,
- for -type, when .
In the semiclassical picture, the field radiated will be a sum of these two terms
- ,
so it is clear that there is an interference or beat note term in a square law detector
- .
Read more about this topic: Quantum Beats
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