Asymptotic completeness of certain four-body Schrödinger operators

George A. Hagedorn; Peter A. Perry

doi:10.1016/0022-1236(86)90008-X

Asymptotic completeness of certain four-body Schrödinger operators

George A. Hagedorn, Peter A. Perry

Mathematics

Producción científica: Article › revisión exhaustiva

1 Cita (Scopus)

Resumen

We give a proof of asymptotic completeness for four-body Schrödinger operators. The two-body potentials are assumed to be short range and there are spectral assumptions on the two- and three-body subsystems. These spectral assumptions hold generically for certain classes of potentials. The proof of the main theorem depends on an analysis of the rates of decay of the wave function in certain regions of configuration space, depending on the scattering channel to which the wave function belongs.

Idioma original	English
Páginas (desde-hasta)	172-203
Número de páginas	32
Publicación	Journal of Functional Analysis
Volumen	65
N.º	2
DOI	https://doi.org/10.1016/0022-1236(86)90008-X
Estado	Published - feb 1 1986

Nota bibliográfica

Funding Information:
*The material is partly based on work supported by the National Science Foundation under grants MCS-8100738 and MCS-8301277. + Bantrell Fellow in Mathematical Physics. Present address: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506.

Financiación

*The material is partly based on work supported by the National Science Foundation under grants MCS-8100738 and MCS-8301277. + Bantrell Fellow in Mathematical Physics. Present address: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506.

Financiadores	Número del financiador
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	MCS-8301277, 8100738, MCS-8100738

ASJC Scopus subject areas

Analysis

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title = "Asymptotic completeness of certain four-body Schr{\"o}dinger operators",

abstract = "We give a proof of asymptotic completeness for four-body Schr{\"o}dinger operators. The two-body potentials are assumed to be short range and there are spectral assumptions on the two- and three-body subsystems. These spectral assumptions hold generically for certain classes of potentials. The proof of the main theorem depends on an analysis of the rates of decay of the wave function in certain regions of configuration space, depending on the scattering channel to which the wave function belongs.",

author = "Hagedorn, \{George A.\} and Perry, \{Peter A.\}",

note = "Funding Information: *The material is partly based on work supported by the National Science Foundation under grants MCS-8100738 and MCS-8301277. + Bantrell Fellow in Mathematical Physics. Present address: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506.",

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AU - Perry, Peter A.

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PY - 1986/2/1

Y1 - 1986/2/1

N2 - We give a proof of asymptotic completeness for four-body Schrödinger operators. The two-body potentials are assumed to be short range and there are spectral assumptions on the two- and three-body subsystems. These spectral assumptions hold generically for certain classes of potentials. The proof of the main theorem depends on an analysis of the rates of decay of the wave function in certain regions of configuration space, depending on the scattering channel to which the wave function belongs.

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Asymptotic completeness of certain four-body Schrödinger operators

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Financiación

ASJC Scopus subject areas

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