Semiclassical Trajectory-Coherent Approximations of Hartree-Type Equations
作者： V. V. Belov , A. Yu. Trifanov , A. V. Shapovalov
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摘要: We use the concept of complex WKB–Maslov method to construct semiclassically concentrated solutions for Hartree-type equations. Formal Cauchy problem this equation that are asymptotic (with respect a small parameter ℏ, ℏ→0) constructed with power-law accuracy O(ℏN/2), where N≥3 is positive integer. The system Hamilton–Ehrenfest equations (for averaged and centered moments) derived in paper plays significant role constructing solutions. In class equations, we an approximate Green's function state nonlinear superposition principle.
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