Summary
The general theory of relativistic moving fluid masses is studied in terms of a new set of variables originally proposed by Einstein and Kramers. The general equations of motion established directly by Bohm and one of us (J.-P. V.) then appear as conservation equations deduced from a scalar Lagrange function of these new variables. This procedure paves the way for a quantization of the internal motion of a model of extended particles in real space: model strongly suggested by the experimental results of Hofstadter.
Riassunto
Si studia la teoria generale delle masse fluide in moto relativistico in termini di un gruppo di variabili originariamente proposte da Einstein e Kramers. Le equazioni generali del moto impostate direttamente da Bohm e uno di noi (J.-P. V.) appaiono allora come equazioni conservative dedotte da un lagrangiano scalare di queste nuove variabili. Questo procedimento apre la via ad una quantizzazione del moto interno di un modello di particelle estese in uno spazio reale; modello fortemente suggerito dai risultati sperimentali di Hofstadter.
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References
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Halbwachs, F., Hillion, P. & Vigier, J.P. Lagrangian formalism in relativistic hydrodynamics of rotating fluid masses. Nuovo Cim 10, 817–833 (1958). https://doi.org/10.1007/BF02859538
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DOI: https://doi.org/10.1007/BF02859538