De Broglie Waves: How Did He Come Up With It?

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SUMMARY

De Broglie proposed that matter exhibits wave-like behavior, paralleling the dual nature of electromagnetic radiation, which can be described as both a wave and a particle (photon). This hypothesis led to the formulation of a wave equation to describe the behavior of particles as waves. Erwin Schrödinger, a physicist with extensive experience in wave physics, subsequently derived this wave equation, solidifying the foundation of quantum mechanics.

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How did De Brogie come up with the idea that matter are waves.
 
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He reasoned if a EM radiation can be described as a wave and as a particle (photon). Then perhaps the analog it true and things that were originally described/discovered as particles can behave as waves.

I think then the question was posed well then what is the wave equation describing this behavior.

Schroedinger who had spent most of his life in wave physics then derived this wave equation.
 

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