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A differential equation that forms the basis of the quantum-mechanical description of matter in terms of the wavelike properties of particles in a field. Its solution is related to the probability density of a particle in space and time.
‘The fundamental equation of quantum mechanics is known as the Schrödinger equation.’
‘Shortly after the advancement of the Schrödinger equation German physicist Max Born postulated that the wave function could be used to determine the probability of finding a particle in a particular region at a specific time.’
‘The Schrödinger equation then gives the function for any subsequent time interval.’
‘Once the Schrödinger equation was developed to show the exact three-dimensional structure of the hydrogen atom, the theory of resonance was developed to explain the multiple solutions sometimes obtained using this equation.’
‘It is clear that we could try to recover realism and determinism if we allowed the view that the Schrödinger equation, and the wave-function or state-vector, might not contain all the information that is available about the system.’