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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access December 1, 2005

Variational wave equations of two fermions interacting via scalar, pseudoscalar, vector, pseudovector and tensor fields

  • Askold Duviryak EMAIL logo and Jurij Darewych
From the journal Open Physics


We consider a method for deriving relativistic two-body wave equations for fermions in the coordinate representation. The Lagrangian of the theory is reformulated by eliminating the mediating fields by means of covariant Green's functions. Then, the nonlocal interaction terms in the Lagrangian are reduced to local expressions which take into account retardation effects approximately. We construct the Hamiltonian and two-fermion states of the quantized theory, employing an unconventional “empty” vacuum state, and derive relativistic two-fermion wave equations. These equations are a generalization of the Breit equation for systems with scalar, pseudoscalar, vector, pseudovector and tensor coupling.

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Published Online: 2005-12-1
Published in Print: 2005-12-1

© 2005 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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