  The Doppler shift of de Broglie wave is obtained for fermions and massive
bosons using the conventional form of Lorentz transformations for momentum and
energy of the particles. A formalism is developed to obtain the variation of
wave length for de Broglie waves with temperature for individual particles
using the classic idea of Wien in a many body Fermi gas or massive Bose gas.

Quantum Gases;Solar and Stellar Astrophysics;Quantum Physics