We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model.

中文翻译：

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玻色极化子的Fröhlich哈密顿量在平均场极限范围内的微观推导

我们考虑了浸入弱相互作用的玻色气体中的单个杂质粒子的量子力学多体问题。杂质通过两体电势与玻色子相互作用。我们在均值场极限下研究了该系统的哈密顿量，并严格表明，在低能量下，Fröhlich极化子模型很好地描述了该问题。