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Please, can someone explain how uncertainity principle explains the wave-particle duality nature of matter and radiation.
General idea is that the Heisenberg Uncertainty Principle (HUP) allows a trade-off between non-commuting operators. Typcially, you might consider position and momentum. Thus, for a photon: exact knowledge of its position leads to it acting as a particle (and momentum can take a range of values). On the other hand, a wave is not localized (as to position) but its momentum can be known exactly. Wave-like behavior can exhibit interference effects. So there is the trade-off.Please, can someone explain how uncertainity principle explains the wave-particle duality nature of matter and radiation.
[Austin Powers-like voice]Or is it really the particle nature of waves? [/Austin Powers-like voice]Usually it's the other way around. You can get the Uncertainty principle by noting the wave nature of particles.