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Mean Field Limit for Bosons and Infinite Dimensional Phase-Space Analysis

Mean Field Limit for Bosons and Infinite Dimensional Phase-Space Analysis,10.1007/s00023-008-0393-5,Annales Henri Poincare,Zied Ammari,Francis Nier

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Mean Field Limit for Bosons and Infinite Dimensional Phase-Space Analysis (Citations: 6)


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. This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once these asymptotic objects are well defined, it is shown how they can be used to make connections between different kinds of results or to prove new ones.

Journal: Annales Henri Poincare - ANN HENRI POINCARE , vol. 9, no. 8, pp. 1503-1574, 2008

DOI: 10.1007/s00023-008-0393-5

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- ...Furthermore, a new approach was developed in [13] that treats the quantum many-body dynamics as a deformation of the classical Hamiltonian dynamics, see also [14, 4, 5]...
WALID K. ABOU SALEM. A NOTE ON THE DERIVATION OF THE TIME-DEPENDENT MAGNETIC HARTREE EQUATI...

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Citations (6)

Rate of Convergence Towards the Hartree–von Neumann Limit in the Mean-Field Regime

Journal: Letters in Mathematical Physics - LETT MATH PHYS , vol. 98, pp. 1-31, 2011

Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states (Citations: 1)

Published in 2010.

The Hartree-von Neumann limit of many body dynamics (Citations: 9)

Published in 2009.

Propagation of chaos for many-boson systems in one dimension with a point pair-interaction (Citations: 2)