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Operational concepts and the transformation laws of space-time co-ordinates in arbitrary dispersive media

Операторные концепции и законы преобразования пространственно-временных координат в произвольной диспергирующей среде

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Il Nuovo Cimento B (1971-1996)

Summary

The concept of operational parameters is discussed. Operational parameters are compared with extrinsic or hidden variables. It is shown that, by applying Einstein’s synchronization conventions, the transformation properties of operational space and time parameters depend on the dispersion (energy momentum) relation of the system. In particular, with nonlinear forces acting in a medium, transformation laws need not necessarily be of the Lorentz form.

Riassunto

Si discute il concetto di parametri operazionali. I parametri operazionali sono confrontati con variabili estrinseche o nascoste. Si mostra che, applicando le convenzioni di sincronizzazione di Einstein, le proprietà di trasformazione dei parametri di spazio e tempo dipendono dalla relazione di dispersione (energia impulso) del sistema. In particolare, con forze non lineari che agiscono in un mezzo, le leggi di trasformazione non devono essere necessariamente della forma di Lorentz.

Резюме

Обсуждается концепция операторных параметров. Операторные параметры сравниваются с несобственными или скрытыми переменными. Применяя условия сихронизации Эйнштейна, показывается, что свойства преобразования пространственных и временных операторных параметров зависят от дисперсионного соотношения системы (связь энергии и импульса). В частности, в случае нелинейных спл, действующих в среде, законы преобразования не обязательно должны иметь лоренцеву форму.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Wien, Karlplatz 13, A-1040, Vienna, Austria

    K. Svozil

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  1. K. Svozil
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Svozil, K. Operational concepts and the transformation laws of space-time co-ordinates in arbitrary dispersive media. Nuovo Cim 96, 127–139 (1986). https://doi.org/10.1007/BF02721466

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  • DOI: https://doi.org/10.1007/BF02721466

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