After a brief overview of electroweak baryogenesis, I will show how to construct a solution of the Dirac equation for a CP violating kink wall. This solution nicely reduces to the known solution for a CP violating thin (step) wall.

Solution of the Dirac Equation in a Curved Space with a Static Metric A. D. Alhaidari 1,2,* 1 Saudi Center for Theoretical Physics, Jeddah 21438, Saudi Arabia.

Dirac equation, spin and ne structure Hamiltonian Fernando Chamizo (Dated: May 27, 2019) The Dirac equation is the starting point for relativistic quantum mechanics which evolved into the modern Quantum Field Theory. The purpose of this paper is to introduce it from a historical point of view and focus on two conspicuous applications.

Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities. We study the semiclassical ground states of the Dirac equation with critical nonlinearity: $-i\hbar\alpha\cdot abla w + a\beta w +V (x)w= W (x) (g (|w|)+|w|)w$ for $x\in\mathbb {R}^3$. The Dirac operator is unbounded from below and above so the associate energy functional is strongly indefinite.

SOLUTIONS OF THE DIRAC-FOCK EQUATIONS AND THE ENERGY OF THE ELECTRON-POSITRON FIELD MATTHIAS HUBER AND HEINZ SIEDENTOP Abstract. We consider atoms with closed shells, i.e., the electron number N is 2, 8, 10,..., and weak electron-electron interaction. Then there exists a unique solution γ of the Dirac-Fock equations [D(γ) g,α,γ] = 0 with the ad-