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# de Broglie relations

| 🗖 nosplit | ↑ parent "Planck constant" | words: 84
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Relates particle momentum and its wavelength, or equivalently, energy and frequency.
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The wavelength relation is: $$λ=ph​ (42)$$ but since: $$v=λfE=pv (43)$$ the wavelength relation implies: $$fv​=ph​f=hvp​=hE​ (44)$$
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Particle wavelength can be for example measured very directly on a double-slit experiment.
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So if we take for example electrons of different speeds, we should be able to see the diffraction pattern change accordingly.
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