Geodesic
On the Spectrum of a Vector Schr\"odinger Operator
Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 1, pp. 39-51

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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: Schrödinger operator, self-adjointness, discrete spectrum, counting function. 
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R. S. Ismagilov; A. G. Kostyuchenko. On the Spectrum of a Vector Schr\"odinger Operator. Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 1, pp. 39-51. http://geodesic.mathdoc.fr/item/FAA_2007_41_1_a2/