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Group-theoretical analysis of elementary particles in an external electromagnetic field II.—The nonrelativistic particle in a constant and uniform field

Теоретико-групповой анализ элементарных частиц во внешнем электромагнитном поле II: Нерелятивистская частица в постоянном и однородном поле

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Il Nuovo Cimento A (1965-1970)

Summary

Two subgroups of the Galilei group are shown to play a particular role in the case of charged systems in an external electro-magnetic field which is constant and uniform. Projective representations of these subgroups involve the electric charge and mass as generators of phase factors. Additivity and superselection rules for charge and mass appear as direct consequences. A comparison is made with the relativistic case investigated in the first part of this article.

Riassunto

Si mostra che due sottogruppi del gruppo di Galilei hanno un ruolo particolare nel caso di sistemi carichi in un campo elettromagnetico esterno costante ed uniforme. Le rappresentazioni proiettive di questi sottogruppi comportano come generatori dei fattori di fase la caric elettrica e la massa. L'addittività e le regole di superselezione per la carica e la massa ne risultano conseguenze dirette. Si fa un confronto con il caso relativistico studiato nella prima parte di questo articolo.

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Author notes

  1. Ph. Combe & J. L. Richard

    Present address: Centre de Physique Théorique, C.N.R.S., 31 Chemin Joseph-Aiguier, 13, Marseille 9e

Authors and Affiliations

  1. Centre Universitaire de Marseille, Luminy

    H. Bacry & Ph. Combe

  2. Centre de Physique Théorique, C.N.R.S., Marseille

    J. L. Richard

Authors
  1. H. Bacry
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  2. Ph. Combe
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  3. J. L. Richard
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Traduzione a cura della Redazione.

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Bacry, H., Combe, P. & Richard, J.L. Group-theoretical analysis of elementary particles in an external electromagnetic field II.—The nonrelativistic particle in a constant and uniform field. Nuovo Cimento A (1965-1970) 70, 289–312 (1970). https://doi.org/10.1007/BF02725375

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  • DOI: https://doi.org/10.1007/BF02725375

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