The system becomes more chaotic as dynamical symmetries are broken by increasing the quantum defect; consequently, the distribution evolves from nearly a Poisson distribution (a) to a Wigner distribution (h).
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Similarly, many systems which exhibit classical chaos have been found with quantum solutions yielding a Wigner distribution, thus supporting the ideas above.
Wigner quasiprobability distribution, a quasiprobability distribution used in quantum physics
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Modified Wigner distribution function, Gabor–Wigner distribution function, and so on (see Gabor–Wigner transform).