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Previously, we established a connection between the macroscopic classicallaws of gases and the quantum mechanical description of molecules of an idealgas (T. Yarman et al. arXiv:0805.4494). In such a gas, the motion of eachmolecule can be considered independently on all other molecules, and thus themacroscopic parameters of the ideal gas, like pressure P and temperature T, canbe introduced as a result of simple averaging over all individual motions ofthe molecules. It was shown that for an ideal gas enclosed in a macroscopiccubic box of volume V, the constant, arising along with the classical law ofadiabatic expansion, i.e. PV5/3=constant, can be explicitly derived based onquantum mechanics, so that the constant comes to be proportional to h^2/m; hereh is the Planck Constant, and m is the relativistic mass of the molecule thegas is made of. In this article we show that the same holds for a photon gas,although the related setup is quite different than the previous ideal gassetup. At any rate, we come out with PV5/3 hc=constant, where c is the speed oflight. No matter what the dimensions of the constants in question are differentfrom each other, they are still rooted to universal constants, morespecifically to h2 and to hc, respectively; their ratio, i.e. V1/3 h/mc,interestingly pointing to the de Broglie relationship's cast.

Quantum Mechanical Disclosure of the Classical Adiabatic Constancy of PVg for an Ideal Gas, and for a Photon Gas