344 citations · 3.1k across the 86 of their papers we have counts for
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Quantum diffusion of the random Schrodinger evolution in the scaling limit II. The recollision diagrams
Laszlo Erdos, Manfred Salmhofer, Horng-Tzer Yau
We consider random Schrödinger equations on $\bR^d$ for with a homogeneous Anderson-Poisson type random potential. Denote by the coupling constant and the soluti…
Quantum diffusion of the random Schrodinger evolution in the scaling limit
Laszlo Erdos, Manfred Salmhofer, Horng-Tzer Yau
We consider random Schrödinger equations on $\bR^d$ for with a homogeneous Anderson-Poisson type random potential. Denote by the coupling constant and the soluti…
Derivation of the Cubic Non-linear Schrödinger Equation from Quantum Dynamics of Many-Body Systems
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
We prove rigorously that the one-particle density matrix of three dimensional interacting Bose systems with a short-scale repulsive pair interaction converges to the solution of th…
Superdiffusivity of two dimensional lattice gas models
C. Landim, J. A. Ramirez, H. -T. Yau
It was proved \cite{EMYa, QY} that stochastic lattice gas dynamics converge to the Navier-Stokes equations in dimension in the incompressible limits. In particular, the visco…
Towards the quantum Brownian motion
Laszlo Erdos, Manfred Salmhofer, Horng-Tzer Yau
We consider random Schrödinger equations on $\bR^d$ or $\bZ^d$ for with uncorrelated, identically distributed random potential. Denote by the coupling constant and $ψ_…
Quantum diffusion for the Anderson model in the scaling limit
Laszlo Erdos, Manfred Salmhofer, Horng-Tzer Yau
We consider random Schrödinger equations on $\bZ^d$ for with identically distributed random potential. Denote by the coupling constant and the solution with init…