Wigner Measures Approach to the Classical Limit of the Nelson Model: Convergence of Dynamics and Ground State Energy

Author:

Ammari Zied,Falconi Marco

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference26 articles.

1. Abdesselam, A., Hasler, D.: Analyticity of the ground state energy for massless Nelson models. Commun. Math. Phys. 310(2), 511–536 (2012). doi: 10.1007/s00220-011-1407-6

2. Ambrosio, L., Gigli, N., Savaré, G.: Gradient flows in metric spaces and in the space of probability measures. Lectures in Mathematics ETH Zürich. Birkhäuser, Basel (2005)

3. Ammari, Z., Nier, F.: Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential. Ann. Sc. Norm. Sup. (to appear)

4. Ammari, Z., Nier, F.: Mean field limit for bosons and infinite dimensional phase-space analysis. Ann. Henri Poincaré 9(8), 1503–1574 (2008). doi: 10.1007/s00023-008-0393-5

5. Ammari, Z., Nier, F.: Mean field limit for bosons and propagation of Wigner measures. J. Math. Phys. 50(4), 042107 (2009). doi: 10.1063/1.3115046

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