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On the Exit Statistics Theorem of Many-particle Quantum Scattering

  • D. Dürr
  • S. Teufel
Conference paper
Part of the Trends in Mathematics book series (TM)

Summary

We review the foundations of the scattering formalism for one-particle potential scattering and discuss the generalisation to the simplest case of many non-interacting particles. We point out that the “straight path motion” of the particles, which is achieved in the scattering regime, is at the heart of the crossing statistics of surfaces, which should be thought of as detector surfaces. We prove the relevant version of the many-particle flux across surfaces theorem and discuss what needs to be proven for the foundations of scattering theory in this context.

Keywords

Wave Function Wave Packet Exit Time Straight Path Detector Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2004

Authors and Affiliations

  • D. Dürr
    • 1
  • S. Teufel
    • 2
  1. 1.Mathematisches InstitutLudwig-Maximilians-Universität MünchenMünchenGermany
  2. 2.Zentrum MathematikTechnische Universität MünchenMünchenGermany

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