VARIATIONAL TWO-PARTICLE WAVE EQUATION IN SCALAR QUANTUM FIELD THEORY
Author(s): J.Darewych (Department of Physics and Astronomy, York University Toronto, Ontario M3J 1P3, Canada)
We study two-particle systems in a model quantum field theory, in which scalar particles of different mass interact via a mediating scalar field. The Lagrangian of the model is reformulated using covariant Green's functions to solve for the mediating field in terms of the particle fields. This results in a Hamiltonian in which the mediating-field propagator appears directly in the interaction term. The variational method, with a simple Fock-state trial state, is used to derive a relativistic momentum-space two-particle wave equation. Non-relativistic and one-particle limits of the equation are determined and discussed briefly.
Comments: Figs. 0, Refs. 6, Tabs. 0.
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