О собственных значениях дискретного оператора Шрёдингера на лестнице d-мерной квадратной решётки

Рассматривается дискретный оператор Шрёдингера H на лестнице d-мерных квадратных решёток с самосопряжённым матричнозначным потенциалом, элементами которого являются скаляры λ и μ. Исследуются условия существования собственных значений и описывается их точное расположение в зависимости от параметров λ и μ для случаев d=1 и d=2.

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