Contour integral representation of the on-shell T matrix

1988 ◽  
Vol 66 (9) ◽  
pp. 791-795
Author(s):  
Helmut Kröger
Keyword(s):  
Numerical Calculation ◽  
Integral Representation ◽  
Short Range ◽  
Reference Value ◽  
Potential Scattering ◽  
Contour Integral ◽  
Body System ◽  
T Matrix ◽  
Body Potential ◽  
Separable Interaction

We suggest a contour integral representation for the on-shell T matrix in nonrelativistic N-body potential scattering with strong short range interactions. Results of a numerical calculation in the two-body system using a short range separable interaction of the Yamaguchi type are presented and show fast convergence towards the reference value.

Diffraction by a perfectly conducting wedge in an anisotropic plasma

1965 ◽  
Vol 61 (3) ◽  
pp. 767-776 ◽  
Author(s):  
T. R. Faulkner
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Wave ◽  
Difference Equation ◽  
Integral Representation ◽  
Surface Waves ◽  
Uniform Magnetic Field ◽  
Anisotropic Plasma ◽  
Contour Integral ◽  
Anisotropic Dielectric

SummaryThe problem considered is the diffraction of an electromagnetic wave by a perfectly conducting wedge embedded in a plasma on which a uniform magnetic field is impressed. The plasma is assumed to behave as an anisotropic dielectric and the problem is reduced, by employing a contour integral representation for the solution, to solving a difference equation. Surface waves are found to be excited on the wedge and expressions are given for their amplitudes.

High-Energy Potential Scattering with Short-Range Forces

1961 ◽  
Vol 122 (3) ◽  
pp. 931-933 ◽  
Author(s):  
B. J. Malenka ◽  
H. S. Valk
Keyword(s):  
Short Range ◽  
High Energy ◽  
Potential Scattering ◽  
Energy Potential

Local structure of the Zr–Al metallic glasses studied by proposed n-body potential through molecular dynamics simulation

2010 ◽  
Vol 25 (9) ◽  
pp. 1679-1688 ◽  
Author(s):  
S.Z. Zhao ◽  
J.H. Li ◽  
B.X. Liu
Keyword(s):  
Molecular Dynamics ◽  
Metallic Glasses ◽  
Short Range ◽  
Short Range Order ◽  
Range Order ◽  
Dynamics Simulation ◽  
Face Centered Cubic ◽  
Dynamics Simulations ◽  
Body Potential ◽  
Pair Analysis

An n-body potential is first constructed for the Zr–Al system and proven to be realistic by reproducing a number of important properties of the system. Applying the constructed potential, molecular dynamics simulations, chemical short-range order (CSRO) calculation, and Honeycutt and Anderson (HA) pair analysis are carried out to study the Zr–Al metallic glasses. It is found that for the binary Zr–Al system, metallic glasses are energetically favored to be formed within composition range of 35–75 at.% Al. The calculation shows that the CSRO parameter is negative and could be up to −0.17, remarkably indicating that there exists a chemical short-range order in the Zr–Al metallic glasses. The HA pair analysis also reveals that there are diverse short-range packing units in the Zr–Al metallic glasses, in which icosahedra and icosahedra/face-centered cubic (fcc)-defect structures are predominant.

THE EIGENVECTORS OF q-DEFORMED CREATION OPERATOR $a_q^+$ AND THEIR PROPERTIES

1995 ◽  
Vol 10 (08) ◽  
pp. 669-675
Author(s):  
GUOXIN JU ◽  
JINHE TAO ◽  
ZIXIN LIU ◽  
MIAN WANG
Keyword(s):  
Integral Representation ◽  
Creation Operator ◽  
Contour Integral ◽  
Root Of Unity

The eigenvectors of q-deformed creation operator [Formula: see text] are discussed for q being real or a root of unity by using the contour integral representation of δ function. The properties for the eigenvectors are also discussed. In the case of qp = 1, the eigenvectors may be normalizable.

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