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19992008
most citedClassification of Asymptotic Profiles for Nonlinear Schrödinger Equations with Small Initial Data

4 citations · 12 across the 7 of their papers we have counts for

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Showing 2001 · math-phShow all

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math-ph2001

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

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…