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Relativistic CCRs and the harmonic-oscillator model of elementary particles

Релятнвистская модель CCR и модель гармонического осциллятора для элементарных частнц

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Il Nuovo Cimento A (1965-1970)

Summary

In this paper we demonstrate the equivalence between the equation of the relativistic harmonic-oscillator model and Born's quantum metric operator eigenvalue equation. The proof of this equivalence relies upon essentially only one assumption: the Klein-Gordon equation.

Riassunto

In questo lavoro si dimostra l'equivalenza tra l'equazione del modello relativistico dell'oscillatore armonico e l'equazione di Born dell'autovalore dell'operatore metrico quantico. La prova di questa equivalenza si fonda essenzialmente su un assunto: l'equazione di Klein-Gordon.

Резюме

В этой статяе мы показываем эквивалентность мезду уравнением модели релятивистского гармонического осциллятора и уравнением Горна для собственных значений квантового метрического оператора. Доказательство эквивалентности основано на единственном предположении: уравнении Клейна-Гордона.

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Author information

Author notes

  1. W. Guz

    Present address: Theoretical Physics Institute, University of Gdańsk, Gdańsk, Poland

Authors and Affiliations

  1. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Canada

    J. A. Brooke & W. Guz

Authors
  1. J. A. Brooke
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  2. W. Guz
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Additional information

To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

Supported in part by NSERC Grant A5206.

Traduzione a cura della Redazione

Передебено ребакцией.

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Brooke, J.A., Guz, W. Relativistic CCRs and the harmonic-oscillator model of elementary particles. Nuov Cim A 78, 17–28 (1983). https://doi.org/10.1007/BF02911508

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  • DOI: https://doi.org/10.1007/BF02911508

PACS. 12.90

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