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Schrödinger equation |
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Schrödinger equationFundamental equation developed in 1926 by Erwin Schrödinger that established the mathematics of quantum mechanics. The equation determines the behaviour of the wave function that describes the wavelike properties of a subatomic system. It relates kinetic energy and potential energy to the total energy, and it is solved to find the different energy levels of the system. Schrödinger applied the equation to the hydrogen atom and predicted many of its properties with remarkable accuracy. The equation is used extensively in atomic, nuclear, and solid-state physics. See also wave-particle duality. |
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| Tao has also made contributions to the study of wave maps, which are related to Einstein's equations of general relativity, and nonlinear Schrodinger equations, which describe the behavior of light in a fiberoptic cable and other quantum phenomena. The SCHRODINGER equation for [psi] is thus decomposed into the infinite system of equations: Though the book advises readers to have a background in physics and calculus and a working knowledge of complex numbers and vectors, physicist McMahon clearly defines the notions of blackbody radiation, the photoelectric effect, the Schrodinger equation, and vector space. |
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