论文标题
最佳的抛物线上限，用于强耦合偏极的能量摩托车关系
Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
论文作者
论文摘要
我们考虑了FröhlichHamiltonian描述的大偏光元，并研究其能量 - 摩托明关系定义为最低的能量，这是总动量的函数。使用合适的试验状态家族，我们在强耦合的极限下得出了一个最佳的抛物线上限。上限由一个动量独立术语组成，该术语与静止二极管强耦合极性的基态能量的预测的两期扩张相符，并且在动量中具有二次术语，其系数是由Landau和Pekar引入的经典有效质量的两倍的系数。
We consider the large polaron described by the Fröhlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal parabolic upper bound for the energy-momentum relation in the limit of strong coupling. The upper bound consists of a momentum independent term that agrees with the predicted two-term expansion for the ground state energy of the strongly coupled polaron at rest, and a term that is quadratic in the momentum with coefficient given by the inverse of twice the classical effective mass introduced by Landau and Pekar.
