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arXiv 0909.2584quant-ph
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Dirac方程的时域有限差分解和Aharonov-Bohm效应的动力学

Finite Difference-Time Domain solution of the Dirac equation and the dynamics of the Aharonov-Bohm effect

Neven Simicevic

摘要:

采用三维时域有限差分法(FDTD)求解含时Dirac方程。在与阿哈罗诺夫-博姆效应相关的布置中研究了矢量势中电子波包的动力学。狄拉克方程的解表明,即使在没有力作用于电子的区域中,电子波包的速度也会发生变化。狄拉克方程的解与经典动力学的预测一致,假设动力学是由广义或正则动量守恒定义的。当磁场不为零时,广义动量守恒或正则动量守恒等价于洛伦兹力的作用。

英文摘要:

The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a vector potential is studied in the arrangements associated with the Aharonov-Bohm effect. The solution of the Dirac equation showed a change in the velocity of the electron wave packet even in a region where no forces acted on the electron. The solution of the Dirac equation agreed with the prediction of classical dynamics under the assumption that the dynamics was defined by the conservation of generalized or canonical momentum. It was also shown that in the case when the magnetic field was not zero, the conservation of generalized or canonical momentum was equivalent to the action of the Lorentz force.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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