扩展势扰动下Landau算符的离散谱分布
Discrete spectrum distribution of the Landau Operator Perturbed by an Expanding Electric Potential
摘要：
在衰减电势的扰动下，朗道哈密顿量在朗道能级之间获得一些离散的本征值。我们研究了“膨胀”电势$V(t^{-1}x)$，$t>0$的微扰，导出了离散谱的计数函数为$t\to \infty$的准经典公式.
英文摘要：
Under a perturbation by a decaying electric potential, the Landau Hamiltonian acquires some discrete eigenvalues between the Landau levels. We study the perturbation by an "expanding" electric potential $V(t^{-1}x)$, $t>0$, and derive a quasi-classical formula for the counting function of the discrete spectrum as $t\to \infty$.
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