How Does De Broglie's Theory Explain an Electron's Wave-Particle Duality?

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De Broglie's hypothesis suggests that particles, such as electrons, exhibit both wave-like and particle-like properties, similar to photons. The discussion emphasizes that while de Broglie was instrumental in proposing this duality, he did not "prove" it in the traditional sense. Instead, the behavior of particles as waves has been confirmed through various experiments, indicating that the focus should be on describing this behavior rather than seeking proof. The consensus is that the wave-particle duality is an established concept in quantum mechanics, rooted in empirical observations rather than theoretical proof.
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I can't understand how de broglie proves that an electron can have wavelength and momentum just like a photon,
 
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Anithadhruvbud said:
how de broglie proves

What do you mean by "proves"? We know from the experiments that particles can behave like waves, there is nothing to prove - all we have to do is to describe this behavior. De Broglie was the first to postulate this is how they behave to explain observed properties, but he didn't "prove" anything.
 
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