On the Quantum Mechanical Scattering Statistics of Many Particles
Abstract
The probability of a quantum particle being detected in a given solid angle is determined by the Smatrix. The explanation of this fact in timedependent 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 Regarding many particle scattering, however, this argument is no longer valid, as each particle arrives at the detector at its own random time.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 Smatrix probability emerges in the limit of large distances.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 September 2010
 DOI:
 10.1007/s1100501004046
 arXiv:
 arXiv:1002.0984
 Bibcode:
 2010LMaPh..93..253D
 Keywords:

 Mathematical Physics;
 81U10;
 81U20
 EPrint:
 some clarifications added in section 2.2