In the presence of the homogeneous electric field E and the homogeneous perpendicular magnetic field B, the classical trajectory of a quantum particle on ℝ2 moves with drift velocity α which is perpendicular to the electric and magnetic fields. For such Hamiltonians, the absence of the embedded eigenvalues of perturbed Hamiltonian has been conjectured. In this paper, one proves this conjecture for the perturbations V (x,y) which have sufficiently small support in the direction of drift velocity.

中文翻译：

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具有交叉磁场和电场的哈密顿量没有嵌入特征值

在均匀电场存在的情况下乙和均匀的垂直磁场乙, 量子粒子的经典轨迹ℝ2以漂移速度运动α它垂直于电场和磁场。对于这样的哈密顿量，人们推测不存在扰动哈密顿量的嵌入特征值。在本文中，人们证明了这个猜想的扰动五 (X,是的)在漂移速度方向上具有足够小的支撑。