Time-dependent approach to transport and scattering in atomic and mesoscopic physics
Time-dependent approach to transport and scattering in atomic and mesoscopic physics
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原子和介观物理中依赖于时间的输运和散射方法
DOI：
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发表时间：
2010
期刊：
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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
具有连续能谱的开放量子系统中的输运和散射现象可以用时间相关的薛定谔方程方便地求解。在时间依赖图中，初始局域波包的演化揭示了所考虑的系统的本征态和本征值。我们讨论了波包方法在原子、分子和介观系统中的应用，并指出了时间相关方法的特殊优势。结合经典力学中熟悉的初始值公式，对输运有了直观的解释。对于相互作用的多粒子系统，我们讨论了在磁场存在下自洽经典输运的有效计算。
Transport and scattering phenomena in open quantum‐systems with a continuous energy spectrum are conveniently solved using the time‐dependent Schrodinger equation. In the time‐dependent picture, the evolution of an initially localized wave‐packet reveals the eigenstates and eigenvalues of the system under consideration. We discuss applications of the wave‐packet method in atomic, molecular, and mesoscopic systems and point out specific advantages of the time‐dependent approach. In connection with the familiar initial value formulation of classical mechanics, an intuitive interpretation of transport emerges. For interacting many‐particle systems, we discuss the efficient calculation of the self‐consistent classical transport in the presence of a magnetic field.