User Tools

Site Tools


equations:dirac_equation

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
Last revision Both sides next revision
equations:dirac_equation [2018/03/26 17:16]
jakobadmin [Definitions]
equations:dirac_equation [2021/05/30 18:16]
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> ​ <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> ​ <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   * 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/​|Fun with Symmetry]]. ​
 +
 +{{:​equations:​dirac.jpg?​nolink}}
 +
 <tabbox Abstract> ​ <tabbox Abstract> ​
  
equations/dirac_equation.txt · Last modified: 2023/04/02 03:11 by edi