Technical methods for solving bound‐state equations in momentum space

1989 ◽  
Vol 30 (5) ◽  
pp. 1060-1072 ◽  
Author(s):  
S. Boukraa ◽  
J.‐L. Basdevant
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
State Equations

scholarly journals Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Yang-Hong Zhang ◽  
Jiao-Kai Chen
Keyword(s):  
Spectral Method ◽  
Error Estimates ◽  
Momentum Space ◽  
Singular Integrals ◽  
Numerical Solutions ◽  
Expansion Method ◽  
Bound State ◽  
Critical Value ◽  
State Equations ◽  
Nearly Singular Integrals

We present errors of quadrature rules for the nearly singular integrals in the momentum-space bound-state equations and give the critical value of the nearly singular parameter. We give error estimates for the expansion method, the Nyström method, and the spectral method which arise from the near singularities in the momentum-space bound-state equations. We show the relations amongst the near singularities, the odd phenomena in the eigenfunctions, and the unreliability of the numerical solutions.

scholarly journals Linear confinement in momentum space: Singularity-free bound-state equations

2014 ◽  
Vol 90 (9) ◽  
Author(s):  
Sofia Leitão ◽  
Alfred Stadler ◽  
M. T. Peña ◽  
Elmar P. Biernat
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
State Equations ◽  
Space Singularity

Temporally ordered graphs and bound state equations

1955 ◽  
Vol 51 (4) ◽  
pp. 762-765
Author(s):  
J. C. Polkinghorne
Keyword(s):  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
State Equations ◽  
Single Time ◽  
Ordered Graphs

ABSTRACTOrdered graphs are used to obtain the kernels of the single-time, three dimensional, equations for bound states given by Lévy and Klein, and by Tamm and Dancoff.

Regge trajectories from the two-body, bound-state Thompson equation using a quark-confining interaction in momentum space

1993 ◽  
Vol 48 (7) ◽  
pp. 3408-3409 ◽  
Author(s):  
David E. Kahana ◽  
Khin Maung Maung ◽  
John W. Norbury
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
Regge Trajectories

scholarly journals Beyond rainbow-ladder in bound state equations

2014 ◽  
Vol 50 (5) ◽  
Author(s):  
Walter Heupel ◽  
Tobias Goecke ◽  
Christian S. Fischer
Keyword(s):  
Bound State ◽  
State Equations

scholarly journals Kinematical and dynamical aspects of higher-spin bound-state equations in holographic QCD

2013 ◽  
Vol 87 (7) ◽  
Author(s):  
Guy F. de Téramond ◽  
Hans Günter Dosch ◽  
Stanley J. Brodsky
Keyword(s):  
Bound State ◽  
State Equations ◽  
Higher Spin ◽  
Holographic Qcd

Variational mass perturbation theory for light-front bound-state equations

1998 ◽  
Vol 57 (4) ◽  
pp. 2460-2474 ◽  
Author(s):  
Koji Harada ◽  
Thomas Heinzl ◽  
Christian Stern
Keyword(s):  
Perturbation Theory ◽  
Bound State ◽  
Light Front ◽  
State Equations

S-matrix pole trajectories for separable interactions

1989 ◽  
Vol 67 (1) ◽  
pp. 37-40 ◽  
Author(s):  
L. A. L. Roriz ◽  
A. Delfino
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
State Collapse ◽  
S Matrix ◽  
Three Body

By solving the Lippmann–Schwinger equation in momentum space for a set of two-body separable interactions, we study eir S-matrix pole trajectories. The connection of such a study with the three-body bound-state collapse is also discussed.

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