basic_tools:dimensional_analysis
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basic_tools:dimensional_analysis [2018/03/28 12:56] jakobadmin |
basic_tools:dimensional_analysis [2018/10/11 14:31] jakobadmin [Concrete] |
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| * A brilliant discussion with many great examples can be found in chapter 1 of Mahajan's book "[[https://mitpress.mit.edu/sites/default/files/titles/content/9780262514293_Creative_Commons_Edition.pdf|Street-fighting Mathematics]]". | * A brilliant discussion with many great examples can be found in chapter 1 of Mahajan's book "[[https://mitpress.mit.edu/sites/default/files/titles/content/9780262514293_Creative_Commons_Edition.pdf|Street-fighting Mathematics]]". | ||
| * https://particlephd.wordpress.com/2008/12/08/dimensional-analysis-for-animals/ | * https://particlephd.wordpress.com/2008/12/08/dimensional-analysis-for-animals/ | ||
| + | * [[https://philpapers.org/rec/LANDE|Dimensional Explanations]] by Marc Lange | ||
| **Dimensional Analysis in Quantum Field Theory:** | **Dimensional Analysis in Quantum Field Theory:** | ||
| - | see http://math.ucr.edu/home/baez/renormalizability.html for how dimensional analysis is used in [[theories:quantum_field_theory|quantum field theory]] and also: | + | see http://math.ucr.edu/home/baez/renormalizability.html for how dimensional analysis is used in [[theories:quantum_field_theory:canonical|quantum field theory]] and also: |
| <blockquote>Looking at the Lagrangian density in (1), we can easily work out what the units | <blockquote>Looking at the Lagrangian density in (1), we can easily work out what the units | ||
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| For example, complicated Gaussian integrals can be "calculated" using dimensional analysis, up to some constant, using solely dimensional analysis. Another example, is the speed of an apple at the ground after being dropped from some height, or the frequency of a pendulum. For more details, see the "Examples" tab. | For example, complicated Gaussian integrals can be "calculated" using dimensional analysis, up to some constant, using solely dimensional analysis. Another example, is the speed of an apple at the ground after being dropped from some height, or the frequency of a pendulum. For more details, see the "Examples" tab. | ||
| - | In addition, dimensional analysis is one of the most important tools in [[theories:quantum_field_theory|quantum field theory]]. | + | In addition, dimensional analysis is one of the most important tools in [[theories:quantum_field_theory:canonical|quantum field theory]]. |
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basic_tools/dimensional_analysis.txt · Last modified: 2018/10/11 14:31 by jakobadmin
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