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Schrödinger equation, the fundamental equation of the science of submicroscopic phenomena known as quantum mechanics. The equation, developed (1926) by the Austrian physicist Erwin Schrödinger, has the same central importance to quantum mechanics as Newton’s laws of motion have for the large-scale phenomena of classical mechanics. Essentially a wave equation, the Schrödinger equation describes the form of the probability waves (or wave functions [see de Broglie wave]) that govern the motion of small particles, and...