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Angular momentum in field theory

Момент в теории поля

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Il Nuovo Cimento B (1965-1970)

Summary

A discussion of a separation of the total angular momentum into spin and orbital parts is presented in terms of the relation of the latter to a position operator for quantized fields.

Riassunto

Si discute la separazione del momento angolare totale in una parte di spin ed una orbitale in base alla relazione di quest’ultima con un operatore di posizione per campi quantizzati.

Реэюме

Проводится обсуждение реэультатов раэделения полного момента на спиновый и орбитальный в терминах свяэи последнего с оператором положения для квантованных полей.

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References

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  8. This four-vectorn transforms properly under Lorentz transformations, but its components are not functions ofx. It is not like the quantity in ref. (7), which has the same components in all Lorentz frames; this vector has physical significance in terms of a chosen observer. It is also widely used in ref. (8).

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  11. The more usual covariant treatment uses the invariant surface element d3 k/k 0 on the hyperspherek 2=m 2, as in ref. (9,10). It has the disadvantage of introducing extraneous factors ofk 0, so that the similarity to the box normalization is lost.

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  15. This is the definition used in ref. (9,12) and others, while in ref. (2,11) the signs are changed.

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  18. Equation (216) in ref. (13) and eq. (49) in ref. (2) give the wrong sign for the tensor densityS μνϱ.

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  19. This corresponds to a separation that is slightly different from the one proposed in ref. (13).

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Authors and Affiliations

  1. Drexel Institute of Technology, Philadelphia, Pa

    E. Marx

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  1. E. Marx
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Marx, E. Angular momentum in field theory. Nuovo Cimento B (1965-1970) 57, 43–61 (1968). https://doi.org/10.1007/BF02710313

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  • DOI: https://doi.org/10.1007/BF02710313

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