Summary
A construction is made of all the possible Г-matrices for the standard relativist ic wave equations of spin 3/2, belonging to the family of those for which 3/2 is not an auxiliary spin. The corresponding equations, which are irreducible when minimally coupled to an electromagnetic field, arc obtained: some exist for any Harish-Chandra degree greater than or equal to four.
Riassunto
Si costruiscono tutte le possibili matrici Г per le equazioni d’onda standard relativistiche con spin 3/2 che appartengono alla famiglia di quelle equazioni per le quali 3/2 non è uno spin ausiliario. Si ottengono le equazioni corrispondenti, che sono irridueibili quando sono accoppiate in modo minimale ad un campo elettromagnotico: alcune esistono per ogni grado di Harish-Chandra maggiore o uguale a quattro.
Резюме
Проводится конструирование всех возможных Г-матриц для стандартных релятивистских волновых уравнений для спина 3/2, принадлежащих семейству уравнений, для которых 3/2 не является вспомогательным спином. Получаются соответствующие уравнения, которые является неприводимыми в случае минимальной связи с электромагнитным полем: для любой степени Хариша-Чандра, больше или равной четырем, такие уравнения существуют.
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References
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Labonté, G. All the standard irreducible equations of spin 3/2 without auxiliary spin 3/2. Nuov Cim A 75, 69–79 (1983). https://doi.org/10.1007/BF02816779
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DOI: https://doi.org/10.1007/BF02816779