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The Correct Theory of Photon Gas


Affiliations
1 Home of Physical Problems, Pisatelskaya 6a, 100200 Tashkent, Uzbekistan
 

The correct theoretical analysis of the generally accepted foundations of theory of photon (quantum) gas is proposed. The principle of the unity of formal logic and of rational dialectics is the correct methodological basis of the analysis. The new results- the correct quantum-statistical foundations- obtained within the framework of the formulated master equation taking into consideration both the quantum states of the radiating molecule and the quantum states of the photon gas in the isolated macroscopic systems "molecule + molecular gas + monochromatic photon gas" are as follows: (a) Planck's, Einstein's, and Bose's works on the theory of photon (quantum) gas contain logical errors; (b) photon (quantum) gas being born by radiating molecule obeys "Gibbs statistics": equilibrium photon (quantum) gas is described by Gibbs quantum canonical distribution; (c) Planck function ("Bose's distribution") is an consequence of Gibbs quantum canonical distribution; (d) Einstein coefficients (i.e. the coefficients of spontaneous emission, induced emission and absorption) are equal to each other.

Keywords

Quantum Theory, Statistical Physics, Heat Radiation, Planck Function, Photon Gas
User

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  • The Correct Theory of Photon Gas

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Authors

Temur Z. Kalanov
Home of Physical Problems, Pisatelskaya 6a, 100200 Tashkent, Uzbekistan

Abstract


The correct theoretical analysis of the generally accepted foundations of theory of photon (quantum) gas is proposed. The principle of the unity of formal logic and of rational dialectics is the correct methodological basis of the analysis. The new results- the correct quantum-statistical foundations- obtained within the framework of the formulated master equation taking into consideration both the quantum states of the radiating molecule and the quantum states of the photon gas in the isolated macroscopic systems "molecule + molecular gas + monochromatic photon gas" are as follows: (a) Planck's, Einstein's, and Bose's works on the theory of photon (quantum) gas contain logical errors; (b) photon (quantum) gas being born by radiating molecule obeys "Gibbs statistics": equilibrium photon (quantum) gas is described by Gibbs quantum canonical distribution; (c) Planck function ("Bose's distribution") is an consequence of Gibbs quantum canonical distribution; (d) Einstein coefficients (i.e. the coefficients of spontaneous emission, induced emission and absorption) are equal to each other.

Keywords


Quantum Theory, Statistical Physics, Heat Radiation, Planck Function, Photon Gas

References





DOI: https://doi.org/10.17485/ijst%2F2009%2Fv2i2%2F29384