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

Research output: Working paperResearch

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

Department of Mathematics, Aarhus University, 2012.

Research output: Working paperResearch

Harvard

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

APA

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

CBE

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

MLA

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.

Vancouver

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

Author

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

Bibtex

@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",

}

RIS

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 -