Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators

Peter A. Perry

doi:10.1007/BF01215278

Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators

Peter A. Perry

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

For a large class of N-body Schrödinger operators H, we prove that eigenvalues of H cannot accumulate from above at any threshold of H. Our proof relies on L² exponential upper bounds for eigenfunctions of H with explicit constants obtained by modifying methods of Froese and Herbst.

Original language	English
Pages (from-to)	481-483
Number of pages	3
Journal	Communications in Mathematical Physics
Volume	92
Issue number	4
DOIs	https://doi.org/10.1007/BF01215278
State	Published - Dec 1984

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01215278

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title = "Exponential bounds and semi-finiteness of point spectrum for N-body Schr{\"o}dinger operators",

abstract = "For a large class of N-body Schr{\"o}dinger operators H, we prove that eigenvalues of H cannot accumulate from above at any threshold of H. Our proof relies on L2 exponential upper bounds for eigenfunctions of H with explicit constants obtained by modifying methods of Froese and Herbst.",

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year = "1984",

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T1 - Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators

AU - Perry, Peter A.

PY - 1984/12

Y1 - 1984/12

N2 - For a large class of N-body Schrödinger operators H, we prove that eigenvalues of H cannot accumulate from above at any threshold of H. Our proof relies on L2 exponential upper bounds for eigenfunctions of H with explicit constants obtained by modifying methods of Froese and Herbst.

AB - For a large class of N-body Schrödinger operators H, we prove that eigenvalues of H cannot accumulate from above at any threshold of H. Our proof relies on L2 exponential upper bounds for eigenfunctions of H with explicit constants obtained by modifying methods of Froese and Herbst.

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U2 - 10.1007/BF01215278

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EP - 483

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 4

ER -

Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators

Abstract

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