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On the spectrum of a vector Schrödinger operator
Authors:R S Ismagilov  A G Kostyuchenko
Institution:(1) Bauman Moscow State Technical University, Russia;(2) Moscow State University, Russia
Abstract:We consider the asymptotics of the spectrum of a Sturm-Liouville operator acting on a space of vector functions and show that this asymptotics is affected by “rotation” of eigenvectors of the potential. A similar result is obtained for a vector Schrödinger operator.
Keywords:Schr?dinger operator  self-adjointness  discrete spectrum  counting function
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