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equations:dirac_equation [2018/03/28 10:24] jakobadmin |
equations:dirac_equation [2023/04/02 03:11] (current) edi [Concrete] |
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<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. | ||
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+ | The analogous equation for systems without spin is the [[equations:klein-gordon_equation|Klein-Gordon equation]]. | ||
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+ | 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> | ||
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<tabbox Concrete> | <tabbox Concrete> | ||
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* 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 | ||
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+ | ---- | ||
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+ | **Graphical Summary** | ||
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+ | 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]]. | ||
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+ | {{:equations:dirac.jpg?nolink}} | ||
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<tabbox Abstract> | <tabbox Abstract> | ||