Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-10T10:07:13.219Z Has data issue: false hasContentIssue false

The Logical Inconsistency of the Old Quantum Theory of Black Body Radiation

Published online by Cambridge University Press:  01 April 2022

John Norton*
Affiliation:
Department of History and Philosophy of Science, University of Pittsburgh

Abstract

The old quantum theory of black body radiation was manifestly logically inconsistent. It required the energies of electric resonators to be both quantized and continuous. To show that this manifest inconsistency was inessential to the theory's recovery of the Planck distribution law, I extract a subtheory free of this manifest inconsistency but from which Planck's law still follows.

Type
Research Article
Copyright
Copyright © 1987 by the Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

I wish to thank John Forge, Allan Franklin, Clark Glymour, Nicholas Rescher, and Joel Smith for helpful discussion.

References

Becker, R. (1982), Electromagnetic Fields and Interactions. vol. II. New York: Dover.Google Scholar
Bohm, D. (1951), Quantum Theory. New York: Prentice-Hall.Google Scholar
Born, M. (1960), Atomic Physics. London: Blackie.Google Scholar
Debye, P. (1910), “Die Wahrscheinlichkeitsbegriff in der Theorie der Strahlung”, Annalen der Physik 33: 1427–1434.Google Scholar
Earman, J. (1980), “Combining Statistical-Thermodynamics and Relativity Theory: Methodological and Foundations Problems”, in P. Asquith and I. Hacking, PSA 1978, Vol. 2, pp. 157–185.Google Scholar
Ehrenfest, P. (1906), “Zur Planckschen Strahlungstheories”, Physikalische Zeitschrift 7: 528–532.Google Scholar
Ehrenfest, P. (1911), “Welche Züge der Lichtquantenhypothese spielen in der Theorie der Wärmestrahlung eine wesentliche Rolle?”, Annalen der Physik 36: 91118.CrossRefGoogle Scholar
Ehrenfest, P. (1923), “Adiabatische Transformationen in der Quantentheorie und ihre Behandlung durch Niels Bohr”, Naturwissenschaften 11: 543–550.CrossRefGoogle Scholar
Einstein, A. (1905), “Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtpunkt”, Annalen der Physik 17: 132–148.Google Scholar
Einstein, A. (1906), “Theorie der Lichterzeugung und Lichtabsorption”, Annalen der Physik 20: 199–206.Google Scholar
Einstein, A. (1909), “Zum gegenwärtigen Stand des Strahlungsproblems”, Physikalische Zeitschrift 10: 185–193.Google Scholar
Einstein, A. (1916), “Strahlungs-emission und -absorption nach der Quantentheorie”, Verhandlungen der Deutschen Physikalischen Gesellschaft 18: 318–323.Google Scholar
Klein, M. J.; Shimony, A.; and Pinch, T. J. (1979), “Paradigm Lost? A Review Symposium”, Isis 70: 429–440.Google Scholar
Kuhn, T. S. (1978), Black-Body Theory and the Quantum Discontinuity. Oxford: Clarendon.Google Scholar
Larmor, J. (1909), “The Statistical and Thermodynamic Relations of Radiant Energy”, Proceedings of the Royal Society of London, A, 83: 8295.Google Scholar
Laue, M. (1943), “Ein relativistischer Beweis für das Wiensche Verschiebungsgesetz”, Annalen der Physik 43: 220–223.Google Scholar
Lorentz, H. A. (1910), “Alte und neue Fragen der Physik”, Physikalische Zeitschrift 11: 1234–1257.Google Scholar
Ott, H. (1963), “Lorentz-Transformation der Wärme und der Temperatur”, Zeitschrift für Physik 175: 70104.CrossRefGoogle Scholar
Pauli, W. (1958), Theory of Relativity. Oxford: Pergamon.Google Scholar
Planck, M. (1900), “Zur Theorie des Gesetzes der Energieverteilung im Normalspektrum”, Verhandlungen der Deutschen Physikalischen Gesellschaft 2: 237–245.Google Scholar
Planck, M. (1959), The Theory of Heat Radiation. New York: Dover.Google Scholar
Poincaré, H. (1911), “Sur la théorie des quanta”, Comptes Rendus 153: 1103–1108.Google Scholar
Poincaré, H. (1912), “Sur la théorie des quanta”, Journal de Physique 2: 534.Google Scholar
Rayleigh, (1900), “Remarks upon the Law of Complete Radiation”, Philosophical Magazine 49: 539–540.Google Scholar
Rescher, N. and Brandom, R. (1980), The Logic of Inconsistency. Oxford: Basil Blackwell.Google Scholar
Sommerfeld, A. (1955), Thermodynamics and Statistical Mechanics. New York: Academic Press.Google Scholar
Wien, W. (1894), “Temperatur und Entropie der Strahlung”, Annalen der Physik und Chemie 52: 132–165.Google Scholar