Derivation of the Cubic Non-linear Schrödinger Equation from Quantum Dynamics of Many-Body Systems
نویسندگان
چکیده
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 the cubic nonlinear Schrödinger equation in a suitable scaling limit. The result is extended to k-particle density matrices for all positive integer k. AMS Classification Number (2000): 35Q55, 81Q15, 81T18, 81V70. Running title: Derivation of the cubic NLS equation.
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