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2019•Cambridge University Press eBooksRequires access

The Dirac Equation and Its Solutions

Horaƫiu Năstase

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Abstract

We consider first Lorentz invariant Lagrangians for spinors, Dirac, Majorana, and Weyl. The Dirac Lagrangian leads to the Dirac equation, whose solutions we study. We find the solutions u(p) and v(p) and calculate their normalizations.

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What this paper is about

We consider first Lorentz invariant Lagrangians for spinors, Dirac, Majorana, and Weyl. The Dirac Lagrangian leads to the Dirac equation, whose solutions we study. We find the solutions u(p) and v(p) and calculate their normalizations.

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Available abstract

We consider first Lorentz invariant Lagrangians for spinors, Dirac, Majorana, and Weyl. The Dirac Lagrangian leads to the Dirac equation, whose solutions we study. We find the solutions u(p) and v(p) and calculate their normalizations.

Key concepts: Dirac equation, Spinor, Dirac algebra, Dirac spinor, Dirac (video compression format), Lagrangian, Mathematical physics, Majorana equation

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