English

On a motion equation for two particles in relativistic quantum mechanics

Quantum Physics 2007-05-23 v1

Abstract

The purpose of the present note is to propose, in the framework of relativistic quantum mechanics, a new Poincare-invariant equation for two particles with masses m_1, m_2 and spin s_1=s_2=1/2. It is a first-order linear differential equation for the eight-component wave function. With the help of this equation the description of the motion of two-particle systems is reduced to the description of one-particle systems in the (1+6)-dimensional Minkowski space which can be in two spin states (s=0 or s=1).

Keywords

Cite

@article{arxiv.quant-ph/0206154,
  title  = {On a motion equation for two particles in relativistic quantum mechanics},
  author = {Wilhelm I. Fushchych},
  journal= {arXiv preprint arXiv:quant-ph/0206154},
  year   = {2007}
}

Comments

4 pages

R2 v1 2026-07-22T19:35:24.616Z