# Heuristic Derivation of Blackbody Radiation Laws using Principles of Dimensional Analysis

@article{Kramm2008HeuristicDO, title={Heuristic Derivation of Blackbody Radiation Laws using Principles of Dimensional Analysis}, author={Gerhard Kramm and Fritz Herbert}, journal={arXiv: Mathematical Physics}, year={2008} }

A generalized form of Wien's displacement law and the blackbody radiation laws of (a) Rayleigh and Jeans, (b) Rayleigh, (c) Wien and Paschen, (d) Thiesen and (e) Planck are derived using principles of dimensional analysis. This kind of scaling is expressed in a strictly mathematical manner employing dimensional pi-invariants analysis sometimes called Buckingham's pi-theorem. It is shown that in the case of the classical radiation law of Rayleigh and Jeans only one pi number occurs that has to…

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