Abstract
We construct relativistic wave equations describing the dynamics of two interacting particle systems involving spin-0 bosons and/or spin-(1/2) fermions. The method consists in quantizing the manifestly covariant formalism with constraints of classical relativistic Hamiltonian mechanics. In this formalism the two-particle wave function satisfies two independent wave equations, which thus determine in a definite way its relative time evolution. We solve the compatibility condition of the two wave equations and classify the general classes of interaction potentials according to their tensor structure. We outline the relationship of this framework of relativistic quantum mechanics with the Bethe-Salpeter equation and its sector of normal solutions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
