Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states

Contrary to the finite dimensional case, Weyl and Wick quantizations are no more asymptotically equivalent in the infinite dimensional bosonic second quantization. Moreover neither the Weyl calculus defined for cylindrical symbols nor the Wick calculus defined for polynomials are preserved by the ac...

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Veröffentlicht in:	Journal de mathématiques pures et appliquées 2011, Vol.95 (6), p.585-626
Hauptverfasser:	Ammari, Z., Nier, F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Functional analysis General mathematics General, history and biography Infinite dimensional nonlinear Hamiltonian flow Logic and foundations Mathematical analysis Mathematical logic, foundations, set theory Mathematical Physics Mathematics Mean field limit Physics Recursion theory Sciences and techniques of general use Semiclassical analysis Wigner measures
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