A new approach to quantum backflow

Authors:
  • MPMarkus Penz
    Markus Penz
  • GGGebhard Grübl
    Gebhard Grübl
  • SKSabine Kreidl
    Sabine Kreidl
  • PWPeter Wagner
    Peter Wagner
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Abstract
We derive some rigorous results concerning the back∞ow operator introduced by Bracken and Melloy. We show that it is linear bounded, self adjoint, and not compact. Thus the question is underlined whether the back∞ow constant is an eigenvalue of the back∞ow operator. From the position representation of the back∞ow operator we obtain a more e-cient method to determine the back∞ow constant. Finally, detailed position probability ∞ow properties of a numerical approximation to the (perhaps improper) wave function of maximal back∞ow are displayed.
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