Summary
The conformal invariant model of de Alfaro, Fubini and Furlan is studied in the case of potential\(V(Q) = g/2Q^2 (Q^2 = \sum\limits_{i = 1}^N {Q_i^2 ,N > 1} )\). By means of the invariance under projective transformations and the rotation symmetry of the system in configuration space, explicit solutions are obtained.
Riassunto
Si studia il modello invariante conforme di de Alfaro, Fubini e Furlan nel caso di potenziale\(V(Q) = g/2Q^2 (Q^2 = \sum\limits_{i = 1}^N {Q_i^2 ,N > 1} )\). Facendo uso dell'invarianza rispetto alle transformazioni proiettive e della simmetria di rotazione del sistema nello spazio delle configurazioni, si ottengono soluzioni esplicite.
Резюме
Исследуется модель конформной инвариантности де Альфаро, Фубини и Фурлана в случае потенциала\(V(Q) = g/2Q^2 (Q^2 = \sum\limits_{i = 1}^N {Q_i^2 ,N > 1} )\). Получа-ются точные решения, используя инвариантность относительно проективных преобразований и симметрию вращения системы в конфигурационном пространстве.
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References
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Barucchi, G. Conformal potential inN dimensions (N>1). Nuov Cim A 40, 141–151 (1977). https://doi.org/10.1007/BF02776781
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DOI: https://doi.org/10.1007/BF02776781