In this paper,we use the Wigner meaure approach to study the semiclassical limit of nonlinear Schroedinger equation in small time.We prove that:the linits of the quantum density:ρ^ε=:|ψ^ε|^2,and the quantum moment...In this paper,we use the Wigner meaure approach to study the semiclassical limit of nonlinear Schroedinger equation in small time.We prove that:the linits of the quantum density:ρ^ε=:|ψ^ε|^2,and the quantum momentum:J^ε=:εIm(-↑ψ^ε↓△ψ^ε）satisfy the compressible Euler equations before the formation of singularities in the limit system.展开更多
文摘In this paper,we use the Wigner meaure approach to study the semiclassical limit of nonlinear Schroedinger equation in small time.We prove that:the linits of the quantum density:ρ^ε=:|ψ^ε|^2,and the quantum momentum:J^ε=:εIm(-↑ψ^ε↓△ψ^ε）satisfy the compressible Euler equations before the formation of singularities in the limit system.
