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SEMICLASSICAL LIMIT OF NONLINEAR SCHROEDINGER EQUATION(II)

Zhang Xiao Ping

2002Acta Scientiarum Naturalium Universitatis SunyatseniMathematics被引 1

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摘要

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^e=:|ψ^e|^2,and the quantum momentum:J^e=:eIm(-↑ψ^e↓△ψ^e)satisfy the compressible Euler equations before the formation of singularities in the limit system.

引用本文(GB/T 7714)

Zhang Xiao Ping. SEMICLASSICAL LIMIT OF NONLINEAR SCHROEDINGER EQUATION(II)[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2002.

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