Short-range particle correlations in a dilute bose gas
Short-range particle correlations in a dilute bose gas
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稀玻色气体中的短程粒子相关性
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
Shanenko
中科院分区：
文献类型：
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作者：
Cherny;Shanenko
本文从粒子对关联函数与介质中粒子对波函数和粒子占据数的精确关系出发，研究了粒子间具有任意强排斥力的均匀稀玻色气体的热力学性质。结果表明，有效相互作用方案，这是减少到Bogoliubov模型与有效的成对势，是不可接受的研究在稀强相互作用玻色气体中的短程粒子关联。与此方案相比，由于对短程玻色子关联的精确处理，我们的模型是一致的，并且没有紫外发散。导出了介质中散射振幅的方程，使得在短玻色子间距下找到对波函数的介质中重整化成为可能。在此基础上重新研究了主要热力学量的低密度展开式。此外，发现每个粒子的相互作用和动能的扩展。本文证明了对于硬球的多玻色子系统，对于任何玻色子密度，相互作用能都等于零。建立了化学势与介质中对波函数之间的精确关系。
The thermodynamics of a homogeneous dilute Bose gas with an arbitrarily strong repulsion between particles is investigated on the basis of the exact relation connecting the pair correlation function with the in-medium pair wave functions and occupation numbers. It is shown that the effective-interaction scheme, which is reduced to the Bogoliubov model with the effective pairwise potential, is not acceptable for investigating the short-range particle correlations in a dilute strongly interacting Bose gas. In contrast to this scheme, our model is thermodynamically consistent and free of the ultraviolet divergences due to accurate treatment of the short-range boson correlations. An equation for the in-medium scattering amplitude is derived that makes it possible to find the in-medium renormalization for the pair wave functions at short boson separations. Low-density expansions for the main thermodynamic quantities are reinvestigated on the basis of this equation. In addition, the expansions are found for the interaction and kinetic energies per particle. It is demonstrated that for a many-boson system of hard spheres the interaction energy is equal to zero for any boson density. The exact relationship between the chemical potential and in-medium pair wave functions is also established.