344 citations · 3.1k across the 86 of their papers we have counts for
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math-ph2001★ 46 cited
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
Laszlo Erdos, Horng-Tzer Yau
We consider the time evolution of N bosonic particles interacting via a mean field Coulomb potential. Suppose the initial state is a product wavefunction. We show that at any finit…
math-ph2001★ 17 cited
Relaxation of Excited States in Nonlinear Schrödinger Equations
Tai-Peng Tsai, Horng-Tzer Yau
We consider a nonlinear Schrödinger equation in with a bounded local potential. The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying so…
math-ph2001★ 7 cited
Stable Directions for Excited States of Nonlinear Schrödinger Equations
Tai-Peng Tsai, Horng-Tzer Yau
We consider nonlinear Schrödinger equations in . Assume that the linear Hamiltonians have two bound states. For certain finite codimension subset in the space of initial data…