Скрытая симметрия 16D осциллятора и его 9D кулоновского аналога
https://doi.org/10.29235/1561-2430-2020-56-2-206-216
Анатацыя
Представлена квадратичная алгебра Хана QH(3) как алгебра скрытой симметрии для определенного класса точно решаемых потенциалов, обобщающих соответственно 16D осциллятор и его по отношению к преобразованию Гурвица 9D кулоновский аналог на основе SU (1,1)⊕ SU (1,1) . Обсуждается разрешимость уравнения Шредингера для этих задач методом разделения переменных в сферических и параболических (цилиндрических) координатах. Показано, что коэффициенты перекрытия между волновыми функциями в этих координатах совпадают с коэффициентами Клебша – Гордана для SU(1,1) алгебры.
Аб аўтарах
А. Лаврёнов
Белорусский государственный педагогический университет
Беларусь
Беларусь
И. Лаврёнов
ООО «Октонион технолоджи»
Беларусь
Беларусь
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