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Historical Prospective: Boltzmann’s versus Planck’s State Counting—Why Boltzmann Did Not Arrive at Planck’s Distribution Law

  • Why does Planck (1900), referring to Boltzmann’s 1877 probabilistic treatment, obtain his quantum distribution function while Boltzmann did not? To answer this question, both treatments are compared on the basis of Boltzmann’s 1868 three-level scheme (configuration—occupation—occupancy). Some calculations by Planck (1900, 1901, and 1913) and Einstein (1907) are also sketched. For obtaining a quantum distribution, it is crucial to stick with a discrete energy spectrum and to make the limit transitions to infinity at the right place. For correct state counting, the concept of interchangeability of particles is superior to that of indistinguishability.

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Metadaten
URN:urn:nbn:de:kobv:526-opus4-6281
Publisher DOI:https://doi.org/10.1155/2016/9137926
Author:Peter Enders
ISSN:1687-9252
Parent Title (English):Journal of Thermodynamics
Document Type:Article
Language:English
Year of Publication:2016
Volume:2016
Page Number:13
Faculties an central facilities:Fachbereich Ingenieur- und Naturwissenschaften
Publishing Institution:Technische Hochschule Wildau
Source:Peter Enders, “Historical Prospective: Boltzmann’s versus Planck’s State Counting—Why Boltzmann Did Not Arrive at Planck’s Distribution Law,” Journal of Thermodynamics, vol. 2016, Article ID 9137926, 13 pages, 2016. doi:10.1155/2016/9137926
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):Creative Commons - CC BY - Namensnennung 4.0 International
Release Date:2016/07/05
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