When interpreted as a probability amplitude ( non-relativistic systems with constant number of particles ), the probability density of finding the system at is
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The invariant quantities made from the input and output states of a system are the only quantities needed to give a probability amplitude to a given system.
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See probability amplitude for an alternative representation of an electron in a particular atomic orbital . talk ) 09 : 20, 9 January 2013 ( UTC)
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Probability amplitudes of observables in such systems are quite hard to evaluate, an enterprise which has absorbed considerable ingenuity in the last three quarters of a century.
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Probabilities are still represented by the usual real numbers we use for probabilities in our everyday world, but probabilities are computed as the square of probability amplitudes.
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Between the doublet peaks, in the center of the transparency window, the quantum probability amplitudes for the probe to cause a transition to either state cancel.
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Is the probability amplitude for a set of particles which were prepared with definite momenta to interact and be measured later as a new set of particles with momenta
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The role is noted in a 2005 biography of Born, which recounts his role in the matrix formulation of quantum mechanics, and the use of probability amplitudes.
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For one spinless particle in 1d, if the wave function is interpreted as a probability amplitude, the square modulus of the wave function, the positive real number
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The probability amplitude itself is physically unmeasurable; only the probability " p " = | ? | 2 can be inferred from a set of measurements.