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.
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 41, No. 1, pp. 39–51, 2007
Original Russian Text Copyright © by R. S. Ismagilov and A. G. Kostyuchenko
To the memory of Mark Grigor’evich Krein
The first author was supported by the Russian Foundation for Basic Research (project no. 05-01-00001). The second author was supported by the same foundation (project no. 05-01-00989) and the program “Leading Scientific Schools” (project no. 5247.2005.1).
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Ismagilov, R.S., Kostyuchenko, A.G. On the spectrum of a vector Schrödinger operator. Funct Anal Its Appl 41, 31–41 (2007). https://doi.org/10.1007/s10688-007-0003-1
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DOI: https://doi.org/10.1007/s10688-007-0003-1