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arXiv quant-ph/0210048quant-ph
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B. E的格林函数法碱金属原子的凝聚

Green's Function Approach to B.E. Condensation in the Alkali Atoms

Mahendra Sinha Roy

摘要:

提出了一种新的解决B.E.根据格林函数方法进行压缩。证明了在一个经有效相互作用修正的谐振子势中运动的两个相互作用原子的径向波函数满足一个核可分离的积分方程,该积分方程的解可用谐振子波函数表示.系统的基态波函数可以用这些解来表示。PACS编号:03.75Fi,02.60Cb,32.80Pj

英文摘要:

A new scheme has been proposed to solve the B.E. condenstates in terms of Green's function approach. It has been shown that the radial wave function of two interacting atoms, moving in a common harmonic oscillator potential modified by an effective interaction,satifies an integral equation whose kernel is separable.The solution of the integral equation can be written in terms of the harmonic oscillator wave functions. The ground state wave function of the system can be written in terms of these solutions. PACS numbers:03.75Fi,02.60Cb,32.80Pj

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