Fluctuations around Hartree states in the mean-field regime
作者： Mathieu Lewin , Phan Thành Nam , Benjamin Schlein
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摘要: We consider the dynamics of a large system $N$ interacting bosons in mean-field regime where interaction is order $1/N$. prove that fluctuations around nonlinear Hartree state are generated by an effective quadratic Hamiltonian Fock space, which is derived from Bogoliubov's approximation. use direct method in the $N$-particle different one based on coherent states space.
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