Skip to main content
SpringerLink
Log in

Quantizationà la nernst for the plane rotator

  • Published:
Lettere al Nuovo Cimento (1971-1985)

Summary

We extend to the case of classical plane rotators the quantization procedure à la Nernst that was recently applied to harmonic oscillators. At variance with that case, we find now that the thermodynamic energy as a function of temperature does not coincide with the one given by quantum mechanics, but the qualitative trend is very similar and even quantitative differences are small.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Henon: inCahotic behaviour of Deterministic Systems, edited byG. Ioos andR. G. H. Helleman Les Houches, Course 36 (Amsterdam, 1983).

  2. L. Galgani:Lett. Nuovo Cimento,31, 65 (1981);Nuovo Cimento B,62, 306 (1981).

    Article  MathSciNet  Google Scholar 

  3. L. Galgani andG. Benettin:Lett. Nuovo Cimento,35, 93 (1982);L. Galgani:Ann. Fond. L. de Broglie,8, 19 (1983).

    Article  MathSciNet  Google Scholar 

  4. C. Cercignani, L. Galgani andA. Scotti:Phys. Lett.,38, 403 (1972);L. Galgani andA. Scotti:Phys. Rev. Lett.,28, 1173 (1972);L. Galgani andA. Scotti:Riv. Nuovo Cimento,2, 189 (1972).

    Article  Google Scholar 

  5. L. Boltzmann:Nature,51, 413 (1895); see alsoVorlesungen über Gastheorie (Leipzig, 1896–1898); english translation:Lectures on Gas Theory (Berkeley, 1964), p. 87 and 91.

    Article  ADS  Google Scholar 

  6. N. Nernst:Verh. Dlsch. Phys. Ges.,18, 83 (1916), especially p. 87 and 91.

    Google Scholar 

  7. M. Planck:Ann. d. Phys.,37, 642 (1912);Waermestrahlung, 2nd edition (1913), english translation:The Theory of Heat Radiation, Part 4, Chapt. 3.

    Article  MathSciNet  ADS  Google Scholar 

  8. F. Hund:Geschichte der Quantentheorie (Zurich, 1975); italian translation:Storia della teoria dei quanti (Torino, 1980).

  9. T. H. Boyer:Phys. Rev. D,1, 2257 (1970). We thankS. Bergia for bringing this paper to our attention.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Politecnico di Milano, Istituto di Matematica, Piazza L. da Vinci 32, Milano, Italia

    C. Cercignani

  2. Dipartimento di Matematica dell’Università di Milano, Via Saldini 50, Milano, Italia

    L. Galgani

  3. Dipartimento di Fisica dell’Università di Milano, ViaCeloria 16, Milano, Italia

    E. Montaldi & M. Sirtori

Authors
  1. C. Cercignani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Galgani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. Montaldi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. Sirtori
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cercignani, C., Galgani, L., Montaldi, E. et al. Quantizationà la nernst for the plane rotator. Lett. Nuovo Cimento 40, 235–239 (1984). https://doi.org/10.1007/BF02751775

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02751775

PACS

Search

Navigation