1207.7190 (K. Ito et al.)

Absence of positive eigenvalues for hard-core N-body systems    [PDF]

K. Ito, E. Skibsted

We show absence of positive eigenvalues for generalized 2-body hard- core Schroedinger operators under the condition of bounded strictly convex obstacles. A scheme for showing absence of positive eigenvalues for generalized N -body hard-core Schroedinger operators, N \geq 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.

View original: http://arxiv.org/abs/1207.7190