Application of Analyticity Properties to the Numerical Solution of the Bethe-Salpeter Equation
- 25 January 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 165 (5), 1790-1802
- https://doi.org/10.1103/physrev.165.1790
Abstract
A new method of calculating phase shifts from the Bethe-Salpeter equation is presented. The differential equation is solved below threshold by using a variational method, and then the scattering amplitude is continued to the physical-scattering region, using Padé approximants. The singularity structure of the Bethe-Salpeter partial-wave amplitude in its off-shell variables was studied to find the nearby singularities that could most strongly affect the continuation.Keywords
This publication has 10 references indexed in Scilit:
- Phase Shifts from the Bethe-Salpeter Differential EquationPhysical Review Letters, 1967
- Solution of the Bethe-Salpeter Equation in the Inelastic RegionPhysical Review B, 1967
- Wick Rotation in the Bethe-Salpeter EquationPhysical Review Letters, 1966
- Analyticity as a Useful Computation ToolPhysical Review Letters, 1966
- Fredholm Method for Bethe-Salpeter EquationPhysical Review Letters, 1966
- Theory and Calculation of Scattering with the Bethe-Salpeter EquationPhysical Review B, 1966
- Off-Shell Equations for Two-Particle ScatteringPhysical Review Letters, 1965
- Solution of a Bethe-Salpeter EquationPhysical Review B, 1965
- Properties of Bethe-Salpeter Wave FunctionsPhysical Review B, 1954
- A Relativistic Equation for Bound-State ProblemsPhysical Review B, 1951