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The Schrödinger Equation serves as the foundation of quantum mechanics, describing the behavior of particles as waves from "summary" of Simply Quantum Physics by DK

The Schrödinger Equation lies at the heart of quantum mechanics, guiding our understanding of the behavior of particles on a microscopic scale. Developed by Austrian physicist Erwin Schrödinger in 1926, this equation revolutionized our perception of the quantum world by treating particles not as point-like objects but as waves. Rather than pinpointing the exact location of a particle at any given moment, the Schrödinger Equation describes the probability distribution of finding a particle in a particular state. This wave-like nature of particles defies classical intuition but has been experimentally verified time and time again through various quantum phenomena. The equation itself is a complex mathematical expression that takes into account the energy of a particle, the potential energy shaping its surroundings, and the time evolution of its wave function. It is a non-relativistic equation, meaning it does not incorporate the effects of special relativity, but it has provided a solid foundation for further developments in quantum theory. One key feature of the Schrödinger Equation is its ability to predict the behavior of particles in systems with varying levels of complexity. From simple one-dimensional potentials to multi-particle systems interacting through intricate forces, the equation can be applied to a wide range of scenarios, providing valuable insights into the quantum realm. By treating particles as waves governed by the Schrödinger Equation, physicists have been able to explain puzzling phenomena such as wave-particle duality, quantum tunneling, and superposition. This departure from classical mechanics has opened up new avenues for research and technological advancements, shaping the way we perceive and interact with the fundamental building blocks of the universe.
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    Simply Quantum Physics

    DK

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