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basic_tools:fourier_transform [2018/05/05 12:23] jakobadmin ↷ Links adapted because of a move operation |
basic_tools:fourier_transform [2018/05/18 16:06] (current) jakobadmin [Why is it interesting?] |
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The Fourier transform is a mathematical tool that allows us to split a function into its fundamental constituents. | The Fourier transform is a mathematical tool that allows us to split a function into its fundamental constituents. | ||
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+ | {{ :basic_tools:fourierdecomposition.png?nolink&600 |}} | ||
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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. | 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. | ||
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+ | ---- | ||
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+ | <blockquote>One can Fourier transform anything—often meaningfully. | ||
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+ | <cite>John Tukey</cite></blockquote> | ||
</tabbox> | </tabbox> | ||
{{tag>theories:quantum_theory:quantum_mechanics theories:quantum_theory:quantum_field_theory theories:classical_theories:electrodynamics}} | {{tag>theories:quantum_theory:quantum_mechanics theories:quantum_theory:quantum_field_theory theories:classical_theories:electrodynamics}} |