Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions

被引：0

作者：

Kramer, Tobias ^{[1
]}

机构：

[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany

来源：

SYMMETRIES IN NATURE | 2010年 / 1323卷

关键词：

interacting electrons; time-dependent variational principle; DIAMAGNETISM; OSCILLATOR; DYNAMICS; SYSTEMS;

D O I：

暂无

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The quantum mechanical many-body problem is rarely analytically solvable. One notable exception is the case of two electrons interacting via a Coulomb potential in a uniform magnetic field. The motion is confined to a two-dimensional plane, which is commonly the case in nanodevices. We compare the exact solution with the semiclassical energy spectrum and study the time-dependent dynamics of the system using the time-dependent variational principle.

引用

页码：178 / 190

页数：13

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