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arXiv quant-ph/9901066quant-ph
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带电粒子和中性原子的Aharonov-Bohm散射:吸收的作用

Aharonov-Bohm scattering of charged particles and neutral atoms: the role of absorption

Juergen Audretsch, Vladimir Skarzhinsky

摘要:

研究了带电粒子在吸收介质中的无限长无限细螺线管(磁弦)的磁场作用下的Aharonov-Bohm散射。我们讨论的分波方法来解决这个问题,并表明,标准的分波方法可以调整到这种情况下。吸收效应导致AB截面的振荡。在此基础上,研究了均匀磁场中有限半径带电导线对具有感生电偶极矩的中性原子的散射。本文详细研究了与金属丝碰撞的原子全部被金属丝表面吸收这一物理现实和实际重要的情况。对不同的物理星座,分析了散射振幅的主要项。其余项以适合于数值计算的形式写出。我们表明,如果磁场是不存在的,吸收带电导线引起的截面的振荡。在磁场的存在下,截面增加和占主导地位的Aharonov-Bohm峰出现在向前的方向,抑制振荡。

英文摘要:

The Aharonov-Bohm scattering of charged particles by the magnetic field of an infinitely long and infinitely thin solenoid (magnetic string) in an absorbing medium is studied. We discuss the partial-wave approach to this problem and show that standard partial-wave method can be adjusted to this case. The effect of absorption leads to oscillations of the AB cross section. Based on this we investigate the scattering of neutral atoms with induced electric dipole moments by a charge wire of finite radius which is placed in an uniform magnetic field. The physical realistic and practically important case that all atoms which collide with the wire are totally absorbed at its surface, is studied in detail. The dominating terms of the scattering amplitude are evaluated analytically for different physical constellations. The rest terms are written in a form suitable for a numerical computation. We show that if the magnetic field is absent, the absorbing charged wire causes oscillations of the cross section. In the presence of the magnetic field the cross section increases and the dominating Aharonov--Bohm peak appears in the forward direction, suppressing the oscillations.

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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