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--- basic_tools:fourier_transform [2018/03/28 12:59]
jakobadmin [Intuitive]
+++ basic_tools:fourier_transform [2018/05/18 16:06]
jakobadmin [Why is it interesting?]
@@ Line 7: / Line 7: @@
 The Fourier transform is a mathematical tool that allows us to split a function into its fundamental constituents.
+{{ :basic_tools:fourierdecomposition.png?nolink&600 |}}
@@ Line 24: / Line 26: @@
 The Fourier transform is an essential tool that, for example, makes the music format MP3 possible. With the help of the Fourier transform any given music can be split into the frequencies that it is built of. Then, we can remove those that can't be heard by humans and get an equally sounding, but much smaller music file.
-Moreover, the Fourier transform is essential in [[theories:quantum_field_theory|Quantum Field Theory]], where we usually expand any given field configuration in terms of it's Fourier modes and then start analyzing it.
+Moreover, the Fourier transform is essential in [[theories:quantum_field_theory:canonical|Quantum Field Theory]], where we usually expand any given field configuration in terms of it's Fourier modes and then start analyzing it.
+----
+<blockquote>One can Fourier transform anything—often meaningfully.
+<cite>John Tukey</cite></blockquote>
 </tabbox>
 {{tag>theories:quantum_theory:quantum_mechanics theories:quantum_theory:quantum_field_theory theories:classical_theories:electrodynamics}}