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

Elliott H. Lieb; Robert Seiringer; Rupert L. Frank

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

Rupert L. Frank , Elliott H. Lieb , Robert Seiringer This is my paper · ORCID

classification math-phmath.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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