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arXiv math-ph/0205033math-phmath.MP
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量子系统的平均场近似与经典极限

Mean-Field Approximation of Quantum Systems and Classical Limit

Sandro Graffi, Andre' Martinez, Mario Pulvirenti

摘要:

证明了对于光滑二体势,Hartree型非线性Schroedinger方程的量子平均场近似在经典极限h \to 0处是稳定的,从而得到经典的Vlasov方程.

英文摘要:

We prove that, for a smooth two-body potentials, the quantum mean-field approximation to the nonlinear Schroedinger equation of the Hartree type is stable at the classical limit h \to 0, yielding the classical Vlasov equation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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