scholarly journals Bound states of edge dislocations: The quantum dipole problem in two dimensions

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
K. Dasbiswas ◽  
D. Goswami ◽  
C.-D. Yoo ◽  
Alan T. Dorsey
Keyword(s):  
Bound States ◽  
Two Dimensions ◽  
Edge Dislocations

Bound states of four identical bosons in two dimensions

1980 ◽  
Vol 21 (4) ◽  
pp. 1334-1341 ◽  
Author(s):  
J. A. Tjon
Keyword(s):  
Bound States ◽  
Two Dimensions

Bound states and asymptotic limits for quantum chromodynamics in two dimensions

1979 ◽  
Vol 19 (10) ◽  
pp. 3024-3049 ◽  
Author(s):  
R. C. Brower ◽  
W. L. Spence ◽  
J. H. Weis
Keyword(s):  
Quantum Chromodynamics ◽  
Bound States ◽  
Two Dimensions

Accurate calculation of the bound states of the quantum dipole problem in two dimensions

Open Physics ◽  
2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Paolo Amore
Keyword(s):  
Asymptotic Behavior ◽  
Upper Bound ◽  
Ground State ◽  
Bound States ◽  
Two Dimensions ◽  
Accurate Calculation ◽  
Perfect Agreement

AbstractWe present an accurate calculation of the energies of the bound states of the quantumdipole problemin two dimensions using a Rayleigh-Ritz approach. We obtain an upper bound for the energy of the ground state, which is by far the most precise in the literature for this problem. We also obtain an alternative estimate of the fundamental energy of the model performing an extrapolation of the results corresponding to different subspaces. Finally, our calculation of the energies of the first 500 states shows a perfect agreement with the expected asymptotic behavior.

scholarly journals Bound states in coupled guides. I. Two dimensions

2004 ◽  
Vol 45 (4) ◽  
pp. 1359-1379 ◽  
Author(s):  
C. M. Linton ◽  
K. Ratcliffe
Keyword(s):  
Bound States ◽  
Two Dimensions

scholarly journals Molecular Dynamics Studies of Surface Indentation in Two Dimensions

1990 ◽  
Vol 193 ◽  
Author(s):  
J. Belak ◽  
I. F. Stowers
Keyword(s):  
Molecular Dynamics ◽  
Two Dimensions ◽  
Metallic Surface ◽  
Spherical Ball ◽  
Elastic And Plastic Deformations ◽  
The Creation ◽  
Non Equilibrium Molecular Dynamics ◽  
Body Potential ◽  
Edge Dislocations ◽  
Embedding Function

ABSTRACTNon-equilibrium molecular dynamics is used to study the indentation of an ideal metallic surface by a hard spherical ball. The problem is symmetric about the axis of the ball and we choose to study the deformation in two dimensions. We use the simple embedding function F(ρ) = 2eρln ρ along with the Lennard-Jones two body potential to model a material resembling copper. We present a calculation of the st'ress field (from the internal atomistic description) for both elastic and plastic deformations. The material deforms plastically through the creation of edge dislocations and the flow of material around the sides of the indenter. The creation of dislocations is reversible—they return to the surface (anneal out) when the indenter is removed. The plastic flow leads to a permanent indentation in the surface.

scholarly journals Scaling and universality in two dimensions: three-body bound states with short-ranged interactions

2011 ◽  
Vol 44 (20) ◽  
pp. 205302 ◽  
Author(s):  
F F Bellotti ◽  
T Frederico ◽  
M T Yamashita ◽  
D V Fedorov ◽  
A S Jensen ◽  
...  
Keyword(s):  
Bound States ◽  
Two Dimensions ◽  
Scaling And Universality ◽  
Three Body

scholarly journals Bound states of a light atom and two heavy dipoles in two dimensions

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
D. S. Rosa ◽  
F. F. Bellotti ◽  
A. S. Jensen ◽  
G. Krein ◽  
M. T. Yamashita
Keyword(s):  
Bound States ◽  
Two Dimensions ◽  
Light Atom
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