论文标题
低能频谱和弱相互作用的玻色气的动力学
Low-energy spectrum and dynamics of the weakly interacting Bose gas
论文作者
论文摘要
我们考虑在平均场缩放机构中具有相互作用的N玻色子的气体。我们回顾了其低能频谱，本征态和动力学的渐近扩展的证明，该范围为Bogoliubov理论提供了1/N中所有阶的校正。这是基于与S. Petrat，P。Pickl，R。Seiringer和A. Soffer的关节合作。此外，我们得出了基态单体降低密度基质的完整渐近扩展。
We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates and dynamics, which provides corrections to Bogoliubov theory to all orders in 1/N. This is based on joint works with S. Petrat, P. Pickl, R. Seiringer and A. Soffer. In addition, we derive a full asymptotic expansion of the ground state one-body reduced density matrix.
