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Number of Bound States of Schroedinger Operators with Matrix-Valued Potentials

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arxiv 0710.1877 v1 pith:VBDXGUZ4 submitted 2007-10-09 math-ph math.MP

Number of Bound States of Schroedinger Operators with Matrix-Valued Potentials

Rupert L. Frank , Elliott H. Lieb , Robert Seiringer This is my paper
classification math-ph math.MP
keywords boundmatrix-valuednumberoperatorspotentialsschroedingerstatesconstant
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We give a CLR type bound on the number of bound states of Schroedinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.

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