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Quantum superposition
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== Generalization to basis states == Other transformations express a quantum solution as a superposition of [[eigenvectors]], each corresponding to a possible result of a measurement on the quantum system. An eigenvector <math>\psi_i</math> for a mathematical operator, <math>\hat{A}</math>, has the equation <math display="block">\hat{A}\psi_i = \lambda_i\psi_i</math> where <math>\lambda_i</math> is one possible measured quantum value for the observable <math>A</math>. A superposition of these eigenvectors can represent any solution: <math display="block">\Psi = \sum_n a_i\psi_i.</math> The states like <math>\psi_i</math> are called basis states.
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