Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions
Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions
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DOI：
10.1063/1.3537846
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发表时间：
2010-09
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影响因子：
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通讯作者：
Tobias Kramer
中科院分区：
文献类型：
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作者：
Tobias Kramer
量子力学多体问题很少能够通过分析解决。一个值得注意的例外是两个电子在均匀磁场中通过库仑势相互作用的情况。运动被限制在二维平面内，这在纳米器件中很常见。我们将精确解与半经典能谱进行比较，并使用瞬态变分原理研究系统的瞬态动力学。
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.