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advanced_notions:quantum_field_theory:perturbation_theory [2018/05/05 15:36] jakobadmin [Layman] |
advanced_notions:quantum_field_theory:perturbation_theory [2018/10/11 16:16] jakobadmin [Abstract] |
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====== Perturbation Theory ====== | ====== Perturbation Theory ====== | ||
- | <tabbox Why is it interesting?> | + | //see also [[advanced_tools:feynman_diagrams|]] // |
- | + | <tabbox Inutuitive> | |
- | [{{ :quantum_theory:quantum_field_theory:perutrbation_theory.png?nolink |source: http://faculty.washington.edu/acherman/PCM_Resurgence.pdf}}] | + | |
- | + | ||
- | ---- | + | |
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- | **Important Related Concepts:** | + | |
- | + | ||
- | * [[advanced_tools:feynman_diagrams|]] | + | |
- | <tabbox Layman> | + | |
<blockquote> | <blockquote> | ||
Perturbation theory is a large collection of iterative methods for obtaining approximate solutions to problems involving a small parameter $\epsilon$. These methods are so powerful that sometimes it is actually advisable to introduce a parameter $\epsilon$ temporarily into a difficult problem having no small parameter, and then finally to set $\epsilon =1$ to recover the original problem. This apparently artificial conversion to a perturbation problem may be the only way to make progress. | Perturbation theory is a large collection of iterative methods for obtaining approximate solutions to problems involving a small parameter $\epsilon$. These methods are so powerful that sometimes it is actually advisable to introduce a parameter $\epsilon$ temporarily into a difficult problem having no small parameter, and then finally to set $\epsilon =1$ to recover the original problem. This apparently artificial conversion to a perturbation problem may be the only way to make progress. | ||
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</blockquote> | </blockquote> | ||
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- | <tabbox Student> | + | <tabbox Concrete> |
<note tip> | <note tip> | ||
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</note> | </note> | ||
- | <tabbox Researcher> | + | <tabbox Abstract> |
- | <note tip> | + | * [[https://arxiv.org/abs/1704.05067|Amplitudes for Astrophysicists I: Known Knowns]] by Daniel J. Burger et. al. |
- | The motto in this section is: //the higher the level of abstraction, the better//. | + | <tabbox Why is it interesting?> |
- | </note> | + | |
- | --> Common Question 1# | + | [{{ :quantum_theory:quantum_field_theory:perutrbation_theory.png?nolink |source: http://faculty.washington.edu/acherman/PCM_Resurgence.pdf}}] |
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- | <-- | ||
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- | --> Common Question 2# | ||
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- | <-- | ||
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- | <tabbox Examples> | ||
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- | --> Example1# | ||
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- | <-- | ||
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- | --> Example2:# | ||
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- | <-- | ||
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- | <tabbox History> | ||
</tabbox> | </tabbox> | ||