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arXiv 1002.0984math-phmath.MP
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多粒子的量子力学散射统计

On the Quantum Mechanical Scattering Statistics of Many Particles

Detlef Dürr, Martin Kolb, Tilo Moser, Sarah Römer

摘要:

在给定的立体角中检测到量子粒子的概率由$S$ -矩阵确定。在时间相关散射理论中对这一事实的解释通常与量子通量有关,因为相对于(检测器)表面和时间间隔积分的量子通量可以被视为粒子在给定时间内穿过该表面的概率。时间间隔。然而,对于许多粒子散射,这个论点不再有效,因为每个粒子在其自己的随机时间到达检测器。虽然这个问题的各种治疗可以设想,在这里,我们提出了一个简单的玻姆分析的许多粒子的潜在散射的$S$矩阵概率出现在大距离的限制。

英文摘要:

The probability of a quantum particle being detected in a given solid angle is determined by the $S$-matrix. The explanation of this fact in time dependent scattering theory is often linked to the quantum flux, since the quantum flux integrated against a (detector-) surface and over a time interval can be viewed as the probability that the particle crosses this surface within the given time interval. Regarding many particle scattering, however, this argument is no longer valid, as each particle arrives at the detector at its own random time. While various treatments of this problem can be envisaged, here we present a straightforward Bohmian analysis of many particle potential scattering from which the $S$-matrix probability emerges in the limit of large distances.

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