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.
- 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.
- 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.
- The Schrödinger equation then gives the function for any subsequent time interval.
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