On finiteness of the sum of negative eigenvalues of Schroedinger operators

Details On finiteness of the sum of negative eigenvalues of Schroedinger operators On finiteness of the sum of negative eigenvalues of Schroedinger operators

2008-02-14

arxiv.org/abs/0802.2032v2

Mathematics

Spectral Theory

Scientific paper

We prove conditions on potentials which imply that the sum of the negative
eigenvalues of the Schroeodinger operator is finite. We use a method for
bounding eigenvalues based on estimates of the Hilbert-Schmidt norm of
semigroup differences and on complex analysis

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