 0898 Juerg Froehlich, Antti Knowles, Simon Schwarz
 On the MeanField Limit of Bosons with Coulomb TwoBody Interaction
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May 28, 08

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Abstract. In the meanfield limit the dynamics of a quantum Bose gas is described by a Hartree equation. We present a simple method for proving the convergence of the microscopic quantum dynamics to the Hartree dynamics when the number of particles becomes large and the strength of the twobody potential tends to 0 like the inverse of the particle number. Our method is applicable for a class of singular interaction potentials including the Coulomb potential. We prove and state our main result for the Heisenbergpicture dynamics of ``observables'', thus avoiding the use of coherent states. Our formulation shows that the meanfield limit is a ``semiclassical'' limit.
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