Wavefunctions and Uncertainty Principle

The wave or state functions describes the motion and properties of a particle, such as an electron or photon. The magnitude squared of the wave-function is the probability density of finding a particle in a volume.

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The Uncertainty Principle defines the limits of accuracy as a relationship between position and momentum.

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The expected value of an observation, such as the presence of a particle in a volume is calculated via an operator.

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The Schroedinger equation describes the motion of particles according to quantum mechanics.

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The Schroedinger equation can be separated into the time dependent and and spatially dependent forms. The time-independent, spatially dependent form solution is as follows.

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