2010/10/28 by Milan Perkovac, Perkovac, Milan
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1010.6083
12 pages, 7 figures, 3 tables, English and French abstract
arxiv created 2010/10/28 · openalex publication_date 2010/10/28 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Using Pearson correlation coefficient a statistical analysis of Duane-Hunt and Kulenkampff's measurement results was performed. This analysis reveals that empirically based Duane-Hunt's law is not entirely consistent with the measurement data. The author has theoretically found the action of electromagnetic oscillators, which corresponds to Planck's constant, and also has found an alternative law based on the classical theory. Using the same statistical method, this alternative law is likewise tested, and it is proved that the alternative law is completely in accordance with the measurements. The alternative law gives a relativistic expression for the energy of electromagnetic wave emitted or absorbed by atoms and proves that the empirically derived Planck-Einstein's expression is only valid for relatively low frequencies. Wave equation, which is similar to the Schrödinger equation, and wavelength of the standing electromagnetic wave are also established by the author's analysis. For a relatively low energy this wavelength becomes equal to the de Broglie wavelength. Without any quantum conditions, the author made a formula similar to the Rydberg's formula, which can be applied to the all known atoms, neutrons and some hyperons.