Absence of singular continuous spectrum in n-body quantum systems

P. Perry; I. M. Sigal; B. Simon

doi:10.1090/S0273-0979-1980-14838-7

Absence of singular continuous spectrum in n-body quantum systems

P. Perry
, I. M. Sigal
, B. Simon

Mathematics

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

1 Scopus citations

Abstract

For a large class of potentials including arbitrary bounded potentials with r^{- 2-Є}falloff and also allowing suitable local singularities and slower falloff, we demonstrate that the singular continuous spectrum of N- body quantum Hamiltonians is empty. We accomplish this by extending Mourre’s work on three body problems to N-bodies.

Original language	English
Pages (from-to)	1019-1024
Number of pages	6
Journal	Bulletin of the American Mathematical Society
Volume	3
Issue number	3
DOIs	https://doi.org/10.1090/S0273-0979-1980-14838-7
State	Published - Nov 1980

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0273-0979-1980-14838-7

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title = "Absence of singular continuous spectrum in n-body quantum systems",

abstract = "For a large class of potentials including arbitrary bounded potentials with r- 2-Єfalloff and also allowing suitable local singularities and slower falloff, we demonstrate that the singular continuous spectrum of N- body quantum Hamiltonians is empty. We accomplish this by extending Mourre{\textquoteright}s work on three body problems to N-bodies.",

author = "P. Perry and Sigal, \{I. M.\} and B. Simon",

year = "1980",

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language = "English",

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T1 - Absence of singular continuous spectrum in n-body quantum systems

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AU - Sigal, I. M.

AU - Simon, B.

PY - 1980/11

Y1 - 1980/11

N2 - For a large class of potentials including arbitrary bounded potentials with r- 2-Єfalloff and also allowing suitable local singularities and slower falloff, we demonstrate that the singular continuous spectrum of N- body quantum Hamiltonians is empty. We accomplish this by extending Mourre’s work on three body problems to N-bodies.

AB - For a large class of potentials including arbitrary bounded potentials with r- 2-Єfalloff and also allowing suitable local singularities and slower falloff, we demonstrate that the singular continuous spectrum of N- body quantum Hamiltonians is empty. We accomplish this by extending Mourre’s work on three body problems to N-bodies.

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UR - https://www.scopus.com/pages/publications/84968512256#tab=citedBy

U2 - 10.1090/S0273-0979-1980-14838-7

DO - 10.1090/S0273-0979-1980-14838-7

M3 - Article

AN - SCOPUS:84968512256

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VL - 3

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EP - 1024

JO - Bulletin of the American Mathematical Society

JF - Bulletin of the American Mathematical Society

IS - 3

ER -

Absence of singular continuous spectrum in n-body quantum systems

Abstract

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