Skip to main content

Planck’s Second Quantum Theory

  • Chapter
  • First Online:
The Weight of the Vacuum

Part of the book series: SpringerBriefs in Physics ((SpringerBriefs in Physics))

Abstract

The notion of a zero-point energy is a result of quantum theory and has no proper counterpart in classical physics. It was introduced by Planck in 1911, more than a decade before the emergence of modern quantum mechanics. Planck’s so-called second quantum theory, on which the zero-point energy was based, was discussed for a brief period of time, but by 1920 at the latest it was abandoned by most physicists. On the other hand, although Planck’s theory was dismissed, the idea of a zero-point energy lived on. No one could tell whether it was more than just an idea.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Most of Planck’s articles on radiation and quantum theory are conveniently collected in Planck (1958). For historical studies of Planck’s second theory, see Kuhn (1978, pp. 235–254), Needell (1980), and Mehra and Rechenberg (1982–2000, vol. 1, pp. 124–127, 146–150).

  2. 2.

    Bohr (1922, p. 10), a translation of an address given to the Danish Physical Society on 20 December 1913 and published in Danish in Fysisk Tidsskrift 12 (1914), pp. 97–114.

  3. 3.

    The unpublished paper, intended to appear in the April 1916 issue of Philosophical Magazine, was entitled “On the Application of the Quantum Theory to Periodic Systems.” Due to Arnold Sommerfeld’s new formulation of the quantum theory of atoms, Bohr decided to withdraw it shortly before it was to be published. Incidentally, Sommerfeld ignored the zero-point energy, which is not mentioned in any of the editions (1919–1924) of his influential book Atombau und Spektrallinien (Atomic Structure and Spectral Lines).

References

  • Bohr, N.: Niels Bohr. Collected Works. In: Hoyer, U., (ed.) vol. 2. Amsterdam, North-Holland (1981)

    Google Scholar 

  • Bohr, N.: On the constitution of atoms and molecules. Philos. Mag. 26, 1–25, 476–502, 851–875 (1913)

    Google Scholar 

  • Bohr, N.: The Theory of Spectra and Atomic Constitution. Cambridge University Press, Cambridge (1922)

    Google Scholar 

  • van Delft, D.: Freezing Physics: Heike Kamerlingh Onnes and the Quest for Cold. Koninklijke Nederlandse Akademie van Wetenschappen, Amsterdam (2007)

    Google Scholar 

  • Gearhart, C.A.: “Astonishing successes” and “bitter disappointment”: The specific heat of hydrogen in quantum theory. Arch. Hist. Exact Sci. 64, 113–202 (2010)

    Article  Google Scholar 

  • Jammer, M.: The Conceptual Development of Quantum Mechanics. McGraw-Hill, New York (1966)

    Google Scholar 

  • Kuhn, T.S.: Black-Body Theory and the Quantum Discontinuity, 1894–1912. Clarendon Press, Oxford (1978)

    Google Scholar 

  • Mehra, J., H. Rechenberg.: The Historical Development of Quantum Theory, vol. 6. Springer, New York (1982–2000)

    Google Scholar 

  • Millikan, R.A.: Atomic theories of radiation. Science 37, 119–133 (1913)

    Article  ADS  Google Scholar 

  • Needell, A.A.: Irreversibility and the Failure of Classical Dynamics: Max Planck’s Work on the Quantum Theory 1900–1915, p. 3058. University Microfilms, Ann Arbor, Michigan (1980)

    Google Scholar 

  • Planck, M.: Eine neue Strahlungshypothese. Verh. Dtsch. Phys. Ges. 13, 138–148. (Reprinted in Planck 1958, pp. 249–259) (1911)

    Google Scholar 

  • Planck, M.: Über die Begründung das Gesetzes des schwarzen Strahlung. Ann. Phys. 37, 642–656. (Reprinted in Planck 1958, pp. 287–301) (1912)

    Google Scholar 

  • Planck, M.: Vorlesungen über die Theorie der Wärmestrahlung. J. A. Barth, Leipzig (1913)

    MATH  Google Scholar 

  • Planck, M.: Die Bohrsche Atomtheorie. Die Naturwissenschaften 11, 535–537 (1923)

    Google Scholar 

  • Planck, M.: Physikalische Abhandlungen und Vorträge, vol. 2. Vieweg und Sohn, Braunschweig (1958)

    Google Scholar 

  • Whitaker, M.A.B.: Planck’s first and second theories and the correspondence principle. Eur. J. Phys. 6, 266–270 (1985)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Helge S. Kragh .

Rights and permissions

Reprints and permissions

Copyright information

© 2014 The Author(s)

About this chapter

Cite this chapter

Kragh, H.S., Overduin, J.M. (2014). Planck’s Second Quantum Theory. In: The Weight of the Vacuum. SpringerBriefs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55090-4_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-55090-4_3

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55089-8

  • Online ISBN: 978-3-642-55090-4

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics