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Inverse problem for Planck formula

2009/05/07 by A. N. Pechenkov, Pechenkov, A. N.
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0905.0953

9 pages, 1 figure

arxiv created 2012/07/19 · arxiv updated 2012/07/20

Abstract

Planck formula is considered as a first moment (average value) of unknown function of electromagnetic energy distribution of black body radiation. In-verse problem for the definition of the unknown function is solved for Gibbs ensemble. The solution needs of ensembles with both absolute temperatures: positive temperature and negative temperature. Such ensembles are the part of more extended class of ensembles with finite energies and finite phase vol-umes. In addition, the absence of Bohr - van Leeuwen paradox is considered for such statistical ensembles.

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