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

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

2009-06-05

arxiv.org/abs/0906.1045v1

Physics

Classical Physics

7 pages

Scientific paper

Previously, we established a connection between the macroscopic classical laws of gases and the quantum mechanical description of molecules of an ideal gas (T. Yarman et al. arXiv:0805.4494). In such a gas, the motion of each molecule can be considered independently on all other molecules, and thus the macroscopic parameters of the ideal gas, like pressure P and temperature T, can be introduced as a result of simple averaging over all individual motions of the molecules. It was shown that for an ideal gas enclosed in a macroscopic cubic box of volume V, the constant, arising along with the classical law of adiabatic expansion, i.e. PV5/3=constant, can be explicitly derived based on quantum mechanics, so that the constant comes to be proportional to h^2/m; here h is the Planck Constant, and m is the relativistic mass of the molecule the gas 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 gas setup. At any rate, we come out with PV5/3 hc=constant, where c is the speed of light. No matter what the dimensions of the constants in question are different from each other, they are still rooted to universal constants, more specifically to h2 and to hc, respectively; their ratio, i.e. V1/3 h/mc, interestingly pointing to the de Broglie relationship's cast.

Affiliated with

Also associated with

No associations

Rating

Quantum Mechanical Disclosure of the Classical Adiabatic Constancy of PVg for an Ideal Gas, and for a Photon Gas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum Mechanical Disclosure of the Classical Adiabatic Constancy of PVg for an Ideal Gas, and for a Photon Gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Mechanical Disclosure of the Classical Adiabatic Constancy of PVg for an Ideal Gas, and for a Photon Gas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521878