Wave-Particle Duality: Physics Implications

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Wave-particle duality fundamentally altered physics by demonstrating that light behaves as both waves and particles, leading to the development of Quantum Theory. De Broglie's hypothesis established that matter also exhibits wave properties, which has significant implications for understanding the behavior of particles. The Heisenberg Uncertainty Principle highlights the complementarity of wave and particle descriptions in quantum mechanics. This duality necessitated revisions and extensions of existing models to incorporate these new insights. Overall, wave-particle duality has expanded the understanding of both light and matter in the realm of physics.
MiNiWolF
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I was just wondering about, after I had read about this topic. Which consequences did it have on physics that we can consider light as waves in some experiments and as particles (photons, quanta) in other experiments.

And maybe even if all matter can have the same properties as light?
 
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MiNiWolF said:
I was just wondering about, after I had read about this topic. Which consequences did it have on physics that we can consider light as waves in some experiments and as particles (photons, quanta) in other experiments.

And maybe even if all matter can have the same properties as light?

Matter does indeed have wave properties like light. De Broglie put this forth around 1924 and received a Nobel for it. So the consequences for physics was that basic Quantum Theory depends on this. I see the Heisenberg Uncertainty Principle as perhaps the most important expression of complementarity and wave/particle duality.
 
So matter actually have a wave length like De Broglie formulated it in his equation? So what does this change in physics? Did we have to rewrite any models, extent them? Or did we find new properties for particle that we can use to explain new physics?
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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