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Research output: Working paper › Research

**Absence of positive eigenvalues for hard-core N-body systems.** / Ito, K.; Skibsted, Erik.

Research output: Working paper › Research

Ito, K & Skibsted, E 2012 'Absence of positive eigenvalues for hard-core N-body systems' Department of Mathematics, Aarhus University.

Ito, K., & Skibsted, E. (2012). *Absence of positive eigenvalues for hard-core N-body systems*. Department of Mathematics, Aarhus University. Preprints No. 6

Ito K, Skibsted E. 2012. Absence of positive eigenvalues for hard-core N-body systems. Department of Mathematics, Aarhus University.

Ito, K. and Erik Skibsted *Absence of positive eigenvalues for hard-core N-body systems*. Department of Mathematics, Aarhus University. (Preprints; Journal number 6). 2012., 41 p.

Ito K, Skibsted E. Absence of positive eigenvalues for hard-core N-body systems. Department of Mathematics, Aarhus University. 2012.

Ito, K. ; Skibsted, Erik. / **Absence of positive eigenvalues for hard-core N-body systems**. Department of Mathematics, Aarhus University, 2012. (Preprints; No. 6).

@techreport{ca441b96b5394ad588ee6b6855951900,

title = "Absence of positive eigenvalues for hard-core N-body systems",

abstract = "We show absence of positive eigenvalues for generalized 2-body hard-core Schr{\"o}dinger operators under the condition of bounded strictly convex obstacles. A scheme for showing absence of positive eigenvalues for generalized N-body hard-core Schr{\"o}dinger 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.",

author = "K. Ito and Erik Skibsted",

year = "2012",

language = "English",

series = "Preprints",

publisher = "Department of Mathematics, Aarhus University",

number = "6",

type = "WorkingPaper",

institution = "Department of Mathematics, Aarhus University",

}

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 -