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On the cutkosky-leon normalization conditions

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Il Nuovo Cimento A (1965-1970)

Summary

The Cutkosky-Leon normalization conditions for Bethe-Salpeter amplitudes play an important role in relativistic bootstrap models. These normalization conditions are here derived in several elementary ways for ordinary quantum mechanics with an energy-dependent potential, thereby exploiting the well-known and useful similarity between the techniques used for the relativistic Bethe-Salpeter theory of composite particles and the familiar methods of ordinary nonrelativistic quantum mechanics. We hope that, in further exhibiting the very simple intuitive content of the bootstrap equations in a clear fashion, this rather elementary discussion will be useful to others.

Riassunto

Le condizioni di normalizzazione di Cutkosky-Leon delle ampiezze di Bethe-Salpeter ricoprono un ruolo importante nei modelli di bootstrap relativistici. Si deducono qui queste condizioni di normalizzazione in molti modi elementari per la meccanica quantistica ordinaria con un potenziale dipendente dall’energia, sfruttando così la ben nota ed utile somiglianza fra le tecniche usate per la teoria di Bethe-Salpeter relativistica delle particelle composte e i metodi familiari della meccanica quantistica non relativistica ordinaria. Si spera che, mettendo ulteriormente in evidenza il semplicissimo contenuto intuitivo delle equazioni di bootstrap in modo chiaro, questa discussione piuttosto elementare sarà utile ad altri.

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Authors and Affiliations

  1. Carnegie Institute of Technology, Pittsburgh, Pa

    V. K. Agrawala, J. G. Belinfante & G. H. Renninger

Authors
  1. V. K. Agrawala
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  2. J. G. Belinfante
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  3. G. H. Renninger
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Traduzione a cura della Redazione.

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Agrawala, V.K., Belinfante, J.G. & Renninger, G.H. On the cutkosky-leon normalization conditions. Nuovo Cimento A (1965-1970) 44, 740–744 (1966). https://doi.org/10.1007/BF02911199

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  • DOI: https://doi.org/10.1007/BF02911199

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