Asymptotic completeness for few body schrödinger operators

George A. Hagedorn; Peter A. Perry

doi:10.1016/S0304-0208(08)73702-2

Asymptotic completeness for few body schrödinger operators

George A. Hagedorn
, Peter A. Perry

Mathematics

Producción científica: Article › revisión exhaustiva

Resumen

We discuss a method for proving asymptotic completeness for many body quantum mechanics. The main idea depends on, an analysis of the time rates of decay of the wave function in certain regions of configuration space. These rates of decay depend on the scattering channel to which the wave function belongs. The method has been applied to prove asymptotic completeness for generic three and four body systems with short range two body potentials.

Idioma original	English
Páginas (desde-hasta)	265-269
Número de páginas	5
Publicación	North-Holland Mathematics Studies
Volumen	92
N.º	C
DOI	https://doi.org/10.1016/S0304-0208(08)73702-2
Estado	Published - ene 1 1984

Nota bibliográfica

Funding Information:
* This material is partly based on work supported by the National Science Foundation under grant MCS-8301277. ** Bantrell Fellow in Mathematical Physics.

Financiación

* This material is partly based on work supported by the National Science Foundation under grant MCS-8301277. ** Bantrell Fellow in Mathematical Physics.

Financiadores	Número del financiador
National Science Foundation (NSF)	MCS-8301277

ASJC Scopus subject areas

General Mathematics

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10.1016/S0304-0208(08)73702-2

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abstract = "We discuss a method for proving asymptotic completeness for many body quantum mechanics. The main idea depends on, an analysis of the time rates of decay of the wave function in certain regions of configuration space. These rates of decay depend on the scattering channel to which the wave function belongs. The method has been applied to prove asymptotic completeness for generic three and four body systems with short range two body potentials.",

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

note = "Funding Information: * This material is partly based on work supported by the National Science Foundation under grant MCS-8301277. ** Bantrell Fellow in Mathematical Physics.",

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AU - Perry, Peter A.

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Asymptotic completeness for few body schrödinger operators

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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