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.
| 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 |



