Bound-state solutions of the Bethe-Salpeter equation in momentum space

1969 ◽  
Vol 61 (2) ◽  
pp. 389-402 ◽  
Author(s):  
E. Zur Linden ◽  
H. Mitter
Keyword(s):  
Momentum Space ◽  
Bound State

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

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.

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

Momentum-space solution of a bound-state nuclear three-body problem with two charged particles

1984 ◽  
Vol 29 (4) ◽  
pp. 1450-1460 ◽  
Author(s):  
D. R. Lehman ◽  
A. Eskandarian ◽  
B. F. Gibson ◽  
L. C. Maximon
Keyword(s):  
Momentum Space ◽  
Body Problem ◽  
Charged Particles ◽  
Bound State ◽  
Three Body Problem ◽  
Space Solution ◽  
Three Body

Three-body bound-state calculation in momentum space

1976 ◽  
Vol 15 (5) ◽  
pp. 134-138 ◽  
Author(s):  
W. Glöckle ◽  
R. Offermann
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
State Calculation ◽  
Three Body ◽  
Bound State Calculation

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.

Momentum space calculation of3He bound-state energies

1986 ◽  
Vol 93 (1) ◽  
pp. 89-98 ◽  
Author(s):  
G. H. Berthold ◽  
H. Zankel ◽  
L. Mathelitsch ◽  
H. Garcilazo
Keyword(s):  
Momentum Space ◽  
Bound State

scholarly journals Confining potential in momentum space

1992 ◽  
Vol 70 (1) ◽  
pp. 86-89 ◽  
Author(s):  
John W. Norbury ◽  
David E. Kahana ◽  
Khin Maung Maung
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
Wave Functions ◽  
Linear Potential ◽  
Subtraction Technique ◽  
Position Space ◽  
State Problem ◽  
Space Potential ◽  
Bound State Problem ◽  
Good Agreement

A method is presented for the solution in momentum space of the bound-state problem with a linear potential in r space. The potential is unbounded at large r leading to a singularity at small q. The singularity is integrable, when regulated by exponentially screening the r-space potential, and is removed by a subtraction technique. The limit of zero screening is taken analytically, and the numerical solution of the subtracted integral equation gives eigenvalues and wave functions in good agreement with position space calculations.

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