Absence of positive eigenvalues for hard-core N-body systems

TY - UNPB

T1 - Absence of positive eigenvalues for hard-core N-body systems

AU - Ito, K.

AU - Skibsted, Erik

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

M3 - Working paper

T3 - Preprints

BT - Absence of positive eigenvalues for hard-core N-body systems

PB - Department of Mathematics, Aarhus University

ER -