We show absence of positive eigenvalues for generalized 2-body hard-core Schrödinger operators under the condition of bounded strictly convex obstacles. A scheme for showing absence of positive eigenvalues for generalized N-body hard-core Schrödinger operators, N≥ 2, is presented. This scheme involves high energy resolvent estimates, and for N=2 it is implemented by a Mourre commutator type method. A particular example is the Helium atom with the assumption of infinite mass and finite extent nucleus.

Original language | English |
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Publisher | Department of Mathematics, Aarhus University |
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Number of pages | 41 |
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Publication status | Published - 2012 |
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Series | Preprints |
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Number | 6 |
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ISSN | 1397-4076 |
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