Asymptotic completeness of many-body short-range systems

1984 ◽  
Vol 8 (3) ◽  
pp. 181-188 ◽  
Author(s):  
I. M. Sigal
Keyword(s):  
Short Range ◽  
Asymptotic Completeness ◽  
Many Body

ON SPECTRAL AND SCATTERING THEORY FOR N-BODY, SCHRÖDINGER OPERATORS IN A CONSTANT MAGNETIC FIELD

2002 ◽  
Vol 14 (02) ◽  
pp. 199-240 ◽  
Author(s):  
TADAYOSHI ADACHI
Keyword(s):  
Magnetic Field ◽  
Constant Magnetic Field ◽  
Scattering Theory ◽  
Short Range ◽  
Asymptotic Completeness ◽  
The Other ◽  
Conjugate Operator ◽  
Neutral Particles ◽  
Pair Potentials ◽  
Spectral And Scattering Theory

We consider an N-body quantum system in a constant magnetic field which consists of just one charged and the other N - 1 neutral particles. We prove the existence of a conjugate operator for the Hamiltonian which governs the system, and show the asymptotic completeness of the system under short-range assumptions on the pair potentials.

Signatures of Short-Range Many-Body Effects in the Dielectric Function of Silicon for Finite Momentum Transfer

2006 ◽  
Vol 97 (23) ◽  
Author(s):  
Hans-Christian Weissker ◽  
Jorge Serrano ◽  
Simo Huotari ◽  
Fabien Bruneval ◽  
Francesco Sottile ◽  
...  
Keyword(s):  
Momentum Transfer ◽  
Dielectric Function ◽  
Short Range ◽  
Many Body ◽  
Many Body Effects

CONSIDERATIONS ON A MESON-ATOMIC MODEL OF THE NUCLEON

1960 ◽  
Vol 38 (10) ◽  
pp. 1245-1255
Author(s):  
L. E. H. Trainor
Keyword(s):  
Field Theory ◽  
Short Range ◽  
Body Problem ◽  
Point Of View ◽  
Atomic Model ◽  
Meson Field ◽  
Many Body ◽  
Screening Effect ◽  
Theory Point ◽  
Insight Into

A model of the nucleon is described in which a π-meson moves about a nucleon core under the action of a hyper-Maxwell field. On such a model, the short range of the internucleon force appears as a screening effect. Despite its obvious limitations, the model does possess some interesting features which lead to results in agreement with experiment. The advantage to such models is that they may provide insight into problems which are enormously difficult from the usual field theory point of view. In particular, one might hope to obtain some understanding of the state of the π -meson field in the nuclear many-body problem.

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