The Role of Boundary Conditions in Solving Finite-Energy, Two-Body, Bound-State Bethe-Salpeter Equations
Mainland, G. B.
arXiv, 0309051 / Harvested from arXiv
Text on arXiv
The difficulties that typically prevent numerical solutions from being obtained to finite-energy, two-body, bound-state Bethe-Salpeter equations can often be overcome by expanding solutions in terms of basis functions that obey the boundary conditions. The method discussed here for solving the Bethe-Salpeter equation requires only that the equation can be Wick rotated and that the two angular variables associated with rotations in three-dimensional space can be separated, properties that are possessed by many Bethe-Salpeter equations including all two-body, bound-state Bethe-Salpeter equations in the ladder approximation. The efficacy of the method is demonstrated by calculating finite-energy solutions to the partially-separated Bethe-Salpeter equation describing the Wick-Cutkosky model when the constituents do not have equal masses.
Publié le : 2003-09-22
Classification:  Mathematical Physics 
@article{0309051,
     author = {Mainland, G. B.},
     title = {The Role of Boundary Conditions in Solving Finite-Energy, Two-Body,
  Bound-State Bethe-Salpeter Equations},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309051}
}

Mainland, G. B. The Role of Boundary Conditions in Solving Finite-Energy, Two-Body,
  Bound-State Bethe-Salpeter Equations. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309051/