朗道最低带的半经典
Semiclassics in the lowest Landau band
摘要：
本文比较了在朗道带最低波函数下的大原子的量子力学基态能量与强费米理论。使用微局部半经典谱渐近的工具，我们得到精确的误差估计。本文提出的方法提出了一个修改的强M-Fermi泛函的定义，其中的主要修改包括在取代的积分的变量垂直于磁场的角动量本征函数的扩展。本文的第二部分详细研究了DSTF理论。
英文摘要：
This paper deals with the comparison between the strong Thomas-Fermi theory and the quantum mechanical ground state energy of a large atom confined to lowest Landau band wave functions. Using the tools of microlocal semiclassical spectral asymptotics we derive precise error estimates. The approach presented in this paper suggests the definition of a modified strong Thomas-Fermi functional, where the main modification consists in replacing the integration over the variables perpendicular to the magnetic field by an expansion in angular momentum eigenfunctions. The resulting DSTF theory is studied in detail in the second part of the paper.
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