  We present new relations for calculation of phonon polaritons, plasmons and
plasmon polaritons frequencies, which differ from the standard relations. So,
we study the frequency of phonon polaritons in a two dimensional lattice with
applications to CuO2 lattice. Next, we evaluate plasmon frequencies in graphene
and in Cu2D and Cu3D metals. Further, we evaluate the frequency of surface
plasmon polaritons at the Cu2D/air and Cu3D/air interfaces. The obtained
results are in a good agreement with experimental data. Also, we present a
correspondence between the potential vector and the displacement of an
oscillator. It is well known that the commutation relations of the operators in
second quantization originate from the simple harmonic oscillators that are
used to quantize the electromagnetic field. Finally, we present a comparison
between photons, phonons and plasmons.
