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He begins with the classical WKB method and proceeds to the theory of Wigner measure, the semi-classical limit from one-dimensional Schrodinger-Poisson to Vlasov-Poisson equations, the semi-classical limits of multidimensional Schrodinger-Poisson equations and the semi-classical limits of the cubic Schrodinger equation in an exterior domain. If amplitudes or phases of the solutions can be assumed as slowly varying quantities, asymptotic approaches such as the WKB approximation can be applied to find approximate wave solutions [12-16]. Content Managers then load this information to the WKB and manage its life cycle. |
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