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--- equations:dirac_equation [2018/03/26 17:16]
jakobadmin [Definitions]
+++ equations:dirac_equation [2023/04/02 03:11] (current)
edi [Concrete]
@@ Line 1: / Line 1: @@
-====== Dirac Equation: $ \quad (i\gamma_\mu \partial^\mu - m ) \Psi =0 $ ======
+<WRAP lag>$  (i\gamma_\mu \partial^\mu - m ) \Psi =0 $</WRAP>
+====== Dirac Equation ======
 <tabbox Intuitive>
+The Dirac equation describes how the state of a relativistic (= fast moving) quantum system with half-integer spin changes in time.
+The analogous equation for systems without spin is the [[equations:klein-gordon_equation|Klein-Gordon equation]].
+If the system only moves slowly, the Dirac equation becomes the [[equations:pauli_equation|Pauli equation]].
-<note tip>
-Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
-</note>
 <tabbox Concrete>
@@ Line 22: / Line 25: @@
   * For a nice description, see section 7.4.3 "Diracology" in the book The Conceptual Framework of Quantum Field Theory by Duncan
+----
+**Graphical Summary**
+The diagram below shows the Dirac equation and its Lagrangian in various forms. For a more detailed explanation see [[https://esackinger.wordpress.com/blog/lie-groups-and-their-representations/#dirac|Fun with Symmetry]].
+{{:equations:dirac.jpg?nolink}}
 <tabbox Abstract>