The Quantum Mechanics of Many-Body Systems

Luca Salasnich

Irving E. Segal, D. J. Thouless

Israel Michael Sigal

Lawrence Paul Horwitz, Rafael I Arshansky

Gu, Y Q

In this paper, we propose a new approach to the relativistic quantum mechanics for many-body, which is a self-consistent system constructed by juxtaposed but mutually coupled nonlinear Dirac's equations. The classical approximation of this approach provides the exact Newtonian dynamics for many-body, and the nonrelativistic approximation gives the complete Schr\\"odinger equation for many-body.