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On Hide's magnetic analogue of Ertel's vorticity theorem

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Abstract

The relativistic formulation of Hide's “magnetic analogue” of Ertel's potential vorticity theorem is Dirac's “new classical theory of electrons”.

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References

  1. P. A. M. Dirac, “A new classical theory of electrons”,Proc. Roy. Soc. (London) A 209, 291–295 (1951); “A new classical theory of electrons, II”,Proc. Roy. Soc. (London) A 212, 330–339 (1951).

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  2. H. Ertel, “Ein neuer hydrodynamischer Wirbelsatz”,Meteorol. Z. 59, 277–281 (1942); English translation in W. Schroeder, ed.,Geophysical Hydrodynamics and Ertel's Potential Vorticity (Science Edition/IAGA, Bremen, 1991); “Ein System von Identiaten und seine Anwendung zur Transformation von Wirbelgleichungen der Hydrodynamik”,Monatsber. Dtsch. Akad. Wiss. Berlin 4, 292–296 (1962); “Analogia entre las ecuaciones del movimiento y las ecuaciones del torbellino en la hidrodinamica”,Gerlands Beitrage Geophysik 72, 312–314 (1963).

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  3. R. Hide, “The magnetic analogue of Ertel's vorticity theorem”,Ann. Geophys. 1, 59–60 (1983); “Potential magnetic field and potential vorticity in magnetohydrodynamics”,Geophys. Int. J. 125, F1–F3 (1996).

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  4. A. Lichnerowicz,Relativistic Hydrodynamics and Magnetohydrodynamics (1967).

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Authors and Affiliations

  1. Hechelstr. 8, D-28777, Bremem-Roennebeck, Germany

    Wilfried Schröder

  2. Rosa-Luxemburg-Str. 17a, D-14482, Potsdam, Germany

    Hans-Jürgen Treder

Authors
  1. Wilfried Schröder
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  2. Hans-Jürgen Treder
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Schröder, W., Treder, HJ. On Hide's magnetic analogue of Ertel's vorticity theorem. Found Phys 27, 1453–1455 (1997). https://doi.org/10.1007/BF02551522

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  • DOI: https://doi.org/10.1007/BF02551522

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