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The number of eigenvalues of the matrix Schr\"odinger operator on the half line with general boundary conditions

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arxiv 1705.03157 v2 pith:3DJVOXHQ submitted 2017-05-09 math-ph math.MP

The number of eigenvalues of the matrix Schr\"odinger operator on the half line with general boundary conditions

classification math-ph math.MP
keywords matrixboundaryeigenvaluesgeneralhalflinenumberodinger
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We prove a bound, of Bargmann- Birman-Schwinger type, on the number of eigenvalues of the matrix Schr\"odinger operator on the half line, with the most general self adjoint boundary condition at the origin, and with selfadjoint matrix potentials that are integrable and have a finite first moment.

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