Determining final probabilities directly from the initial state

Details Determining final probabilities directly from the initial state Determining final probabilities directly from the initial state

2011-12-16

arxiv.org/abs/1112.3830v1

Physics

Quantum Physics

8 pages, 2 figures

Scientific paper

In quantum scattering problems it is not possible to relate unambiguously a particular feature of the final outcome with some specific section of the initial state. As it is shown here, this drawback can be overcome by conveniently combining the divergence or Gauss-Ostrogradsky theorem with Bohmian mechanics. This renders a general approach which enables such a connection and allows us to determine the value of final partial or restricted probabilities directly from the corresponding localized section of the initial state. As an illustration, this approach is applied to two prototypical scattering phenomena: tunneling and grating diffraction.

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