Summary
We study the large-N limit of the Klein-Gordon and Dirac equations; the relativistic and spin corrections to the Schrödinger equation turn out to be nonleading in the 1/N expansion. We study the convergence of the different corrections in the case of Coulomb potential.
Riassunto
Si studia il limite perN grande delle equazioni di Klein-Gordon e Dirac; le correzioni relativistica e di spin all’equazione di Schrödinger risultano essere non trainanti nello sviluppo in serie di 1/N. Si studia la convergenza di correzioni diverse nel caso del potenziale di Coulomb.
Резюме
Мы исследуем предел большихN для уравнений Клейна-Гордона и Дирака. Оказывается, что релятивистские и спиновые поправки к уравнению Шредингера не являются гавными в разложении 1/N. Мы исследуем сходимость различных поправок в случае кулоновского потенциала.
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Miramontes, J.L., Pajares, C. On the large-N limits of relativistic equations. Nuov Cim B 84, 10–18 (1984). https://doi.org/10.1007/BF02721643
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DOI: https://doi.org/10.1007/BF02721643