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

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

Mathematics (all)
Applied Mathematics

Access to Document

10.1090/S0273-0979-1980-14838-7

Cite this

@article{5ed9b74b5f294bf8b03fab7452ed0ac2,

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",

month = nov,

doi = "10.1090/S0273-0979-1980-14838-7",

language = "English",

volume = "3",

pages = "1019--1024",

number = "3",

}

TY - JOUR

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

AU - Perry, P.

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.

UR - http://www.scopus.com/inward/record.url?scp=84968512256&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968512256&partnerID=8YFLogxK

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

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

M3 - Article

AN - SCOPUS:84968512256

VL - 3

SP - 1019

EP - 1024

IS - 3

ER -

Absence of singular continuous spectrum in n-body quantum systems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this