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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…