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Principle of superposition allows for waveparticle duality from "summary" of The Principles of Quantum Mechanics by P. A. M. Dirac

The principle of superposition, which is a fundamental concept in quantum mechanics, plays a crucial role in understanding the wave-particle duality of particles. This principle states that if a physical system can exist in multiple states, then it can also exist in a state that is a superposition of these states. In the case of wave-particle duality, particles such as electrons and photons exhibit both wave-like and particle-like behavior. This means that they can exhibit interference patterns characteristic of waves, as well as behave like discrete particles when interacting with detectors. The principle of superposition allows us to understand this seemingly contradictory behavior by considering particles as existing in a superposition of different states, each corresponding to a different possible outcome. When a measurement is made, the system collapses into one of these states, exhibiting either wave-like or particle-like behavior depending on the circumstances. This concept has profound implications for our understanding of the nature of particles and the underlying principles of quantum mechanics. It challenges our classical intuitions about the behavior of particles and forces us to rethink our understanding of the physical world at the most fundamental level. By embracing the principle of superposition, we can reconcile the wave-particle duality of particles and gain deeper insights into the mysterious realm of quantum mechanics. It opens up new possibilities for exploring the nature of reality and pushes the boundaries of our understanding of the universe.
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    The Principles of Quantum Mechanics

    P. A. M. Dirac

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