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.
Quantum mechanics, science dealing with the behavior of matter and light on the atomic and subatomic scale. It attempts to describe and account for the properties of molecules and atoms and their constituents—electrons, protons, neutrons, and other more esoteric particles such as quarks and gluons.

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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.
Boosting solution of dirac equation. Close. 2. Posted by 4 years ago. Archived. Boosting solution of dirac equation.

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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.
Valeriy V. Dvoeglazov Negative Energies in the Dirac equation Abstract It is easy to check that both algebraic equation Det(ˆp ím) = 0 and Det(ˆp + m) = 0 for uí and ví 4-spinors have solutions with p_0 = ±E_p = ± sqrt {p^2 + m^2}. The same is true for higher-spin equations. Meanwhile, every book considers the

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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.
Solution of the Dirac Equation for Hydrogen The standard Hydrogen atom problem can be solved exactly using relativistic quantum mechanics. The full solution is a bit long but short compared to the complete effort we made in non-relativistic QM.

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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-

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