  In the paper the thermal energy transfer for elementary particles is
described. The quantum heat transport equation is obtained. It is shown that
for thermal excitation of the order of the relaxation time the excited matter
response is quantized on the different levels (atomic, nuclear, quark) with
quantum thermal energy equal E^{atomic}=9 eV, E^(nuclear)=7 MeV and
E^{quark}=139 MeV. As the result the quantum for the heating process of
nucleons is the pi-meson (consisting of the two quarks).
  Keywords: Heat quanta; Quantum heat transport; Quantum diffusion coefficient.
